{"id":743,"date":"2020-06-09T12:56:52","date_gmt":"2020-06-09T12:56:52","guid":{"rendered":"http:\/\/e-academy.com.pk\/cms\/?page_id=743"},"modified":"2023-12-05T17:41:46","modified_gmt":"2023-12-05T17:41:46","slug":"math-x","status":"publish","type":"page","link":"http:\/\/e-academy.com.pk\/cms\/?page_id=743","title":{"rendered":"Math-X"},"content":{"rendered":"\r\n
Chapter 1: Sets (108 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
1.1: Revision<\/h6>\r\n\r\n\r\n\r\n
    \r\n
  1. Set Definition<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
    1.2: Some Important Sets of Numbers \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
      \r\n
    1. Definition & Notation of Some Important Sets<\/a><\/li>\r\n
    2. Set Notation & its Characteristics<\/a><\/li>\r\n
    3. Presentation of a Set<\/a><\/li>\r\n
    4. Problem 1: Presentation of a Set<\/a><\/li>\r\n
    5. Set Builder Notation<\/a><\/li>\r\n
    6. Problem 1: Set Builder Notation<\/a><\/li>\r\n
    7. Empty set and Singleton Set<\/a><\/li>\r\n
    8. Problem 1: Empty Set & Singleton Set<\/a><\/li>\r\n
    9. Finite & Infinite Set<\/a><\/li>\r\n
    10. Problem 1: Finite & Infinite Set<\/a><\/li>\r\n
    11. Equal & Equivalent Sets<\/a><\/li>\r\n
    12. Problem 1: Equal & Equivalent Sets<\/a><\/li>\r\n
    13. Subset Definition<\/a><\/li>\r\n
    14. Problem 1: Subset Definition<\/a><\/li>\r\n
    15. Proper Subset & Improper Subset<\/a><\/li>\r\n
    16. Problem 1: Proper Subset & Improper Subset<\/a><\/li>\r\n
    17. Properties of Subset<\/a><\/li>\r\n
    18. Problem 1: Properties of Subset<\/a><\/li>\r\n
    19. Power Set<\/a><\/li>\r\n
    20. Problem 1: Power Set<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
      1.3: Operations on Two Sets \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
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      1. Union of Two Sets<\/a><\/li>\r\n
      2. Problem 1: Union of Two Sets<\/a><\/li>\r\n
      3. Intersection of Set<\/a><\/li>\r\n
      4. Problem 1: Intersection of Set<\/a><\/li>\r\n
      5. Difference of Sets<\/a><\/li>\r\n
      6. Problem 1: Difference of Sets<\/a><\/li>\r\n
      7. Symmetric Difference of two sets<\/a><\/li>\r\n
      8. Problem 1: Symmetric Difference of two sets<\/a><\/li>\r\n
      9. Universal Set<\/a><\/li>\r\n
      10. Complement of a Set<\/a><\/li>\r\n
      11. Problem 1: Complement of a Set<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
        1.4: Operations of Union and Intersection on Three Sets<\/h6>\r\n\r\n\r\n\r\n
          \r\n
        1. Operations of Union and Intesection on three sets<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
          1.5: Properties of Union and Intersection for Two or Three Sets \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
            \r\n
          1. Commutative Property of Union<\/a><\/li>\r\n
          2. Associative Property of Union of Sets<\/a><\/li>\r\n
          3. Problem 1: Associative Property of Union of Sets<\/a><\/li>\r\n
          4. Associative Property of Intersection of Sets<\/a><\/li>\r\n
          5. Problem 1: Associative Property of Intersection of Sets<\/a><\/li>\r\n
          6. Distributive Property of Union Over Intersection<\/a><\/li>\r\n
          7. Problem 1: Distributive Property of Union Over Intersection<\/a><\/li>\r\n
          8. Distributive property of Intersection over Union<\/a><\/li>\r\n
          9. Problem 1: Distributive property of Intersection over Union<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
            1.6: De Morgans Laws \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
              \r\n
            1. Demorgan Law 1<\/a><\/li>\r\n
            2. Problem 1: Demorgan Law 1<\/a><\/li>\r\n
            3. Demorgan Law 2<\/a><\/li>\r\n
            4. Problem 1: Demorgan Law 2<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
              1.7: Venn Diagrams \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                \r\n
              1. Introduction to Venn Diagrams<\/a><\/li>\r\n
              2. Problem 1: Introduction to Venn Diagrams<\/a><\/li>\r\n
              3. Commutative Law of Union of Sets<\/a><\/li>\r\n
              4. Problem 1: Commutative Law of Union of Sets<\/a><\/li>\r\n
              5. Commutative Law of Intersection of Sets<\/a><\/li>\r\n
              6. Problem 1: Commutative Law of Intersection of Sets<\/a><\/li>\r\n
              7. Intersection Associativity for Overlapping Sets<\/a><\/li>\r\n
              8. Problem 1: Intersection Associativity for Overlapping Sets<\/a><\/li>\r\n
              9. Intersection Associativity for Disjoint Sets<\/a><\/li>\r\n
              10. Problem 1: Intersection Associativity for Disjoint Sets<\/a><\/li>\r\n
              11. Intersection Associativity for Sets<\/a><\/li>\r\n
              12. Problem 1: Intersection Associativity for Sets<\/a><\/li>\r\n
              13. More on Intersection Associativity for Sets<\/a><\/li>\r\n
              14. Problem 1: More on Intersection Associativity for Sets<\/a><\/li>\r\n
              15. Union Associativity for Overlapping Sets<\/a><\/li>\r\n
              16. Problem 1: Union Associativity for Overlapping Sets<\/a><\/li>\r\n
              17. Union Associativity for Disjoint Sets<\/a><\/li>\r\n
              18. Problem 1: Union Associativity for Disjoint Sets<\/a><\/li>\r\n
              19. Union Associativity for Sets<\/a><\/li>\r\n
              20. Problem 1: Union Associativity for Sets<\/a><\/li>\r\n
              21. More on Union Associativity for Set<\/a><\/li>\r\n
              22. Problem 1: More on Union Associativity for Set<\/a><\/li>\r\n
              23. Distributivity of Union Over Intersection of Sets<\/a><\/li>\r\n
              24. Problem 1: Distributivity of Union Over Intersection of Sets<\/a><\/li>\r\n
              25. Distributivity of Intersection Over Union of Sets<\/a><\/li>\r\n
              26. Problem 1: Distributivity of Intersection Over Union of Sets<\/a><\/li>\r\n
              27. Difference of Sets for Overlapping Sets<\/a><\/li>\r\n
              28. Problem 1: Difference of Sets for Overlapping Sets<\/a><\/li>\r\n
              29. Difference of Sets for Disjoint Sets<\/a><\/li>\r\n
              30. Problem 1: Difference of Sets for Disjoint Sets<\/a><\/li>\r\n
              31. Difference of Sets for a Set & its Subset<\/a><\/li>\r\n
              32. Problem 1: Difference of Sets for a Set & its Subset<\/a><\/li>\r\n
              33. Complement of Union for Overlapping Sets<\/a><\/li>\r\n
              34. Problem 1: Complement of Union for Overlapping Sets<\/a><\/li>\r\n
              35. Complement of Intersection for Overlapping Sets<\/a><\/li>\r\n
              36. Problem 1: Complement of Intersection for Overlapping Sets<\/a><\/li>\r\n
              37. Complement of Intersection for Disjoint Sets<\/a><\/li>\r\n
              38. Problem 1: Complement of Intersection for Disjoint Sets<\/a><\/li>\r\n
              39. Complement of Union for Disjoint Sets<\/a><\/li>\r\n
              40. Problem 1: Complement of Union for Disjoint Sets<\/a><\/li>\r\n
              41. Complement of Union for Set & its Subset<\/a><\/li>\r\n
              42. Problem 1: Complement of Union for Set & its Subset<\/a><\/li>\r\n
              43. Complement of Intersection for Set & its Subset<\/a><\/li>\r\n
              44. Problem 1: Complement of Intersection for Set & its Subset<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                1.8: Ordered Pairs<\/h6>\r\n\r\n\r\n\r\n
                  \r\n
                1. Introduction to Ordered Pairs<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                  1.9: Cartesian Product of Sets<\/h6>\r\n\r\n\r\n\r\n
                    \r\n
                  1. Cartesian Product of Sets<\/a><\/li>\r\n
                  2. Problem 1: Cartesian Product of Sets<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                    1.10: Binary Relation \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                      \r\n
                    1. Introduction to Binary Relation<\/a><\/li>\r\n
                    2. Problem 1: Introduction to Binary Relation<\/a><\/li>\r\n
                    3. Domain & Range of Binary Relation<\/a><\/li>\r\n
                    4. Problem 1: Domain & Range of Binary Relation<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                      1.11: Functions \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                        \r\n
                      1. Introduction to Function<\/a><\/li>\r\n
                      2. Problem 1: Introduction to Function<\/a><\/li>\r\n
                      3. Onto Function<\/a><\/li>\r\n
                      4. Problem 1: Onto Function<\/a><\/li>\r\n
                      5. One to One Function<\/a><\/li>\r\n
                      6. Problem 1: One to One Function<\/a><\/li>\r\n
                      7. Bijective Function<\/a><\/li>\r\n
                      8. Problem 1: Bijective Function<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                        1.12: Cartesian Coordinate System for Plane<\/h6>\r\n\r\n\r\n\r\n
                          \r\n
                        1. Cartesian Coordinate System & Cartesian Plane<\/a><\/li>\r\n
                        2. Problem 1: Cartesian Coordinate System & Cartesian Plane<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                          1.13: Graphical Representation of Cartesian Product<\/h6>\r\n\r\n\r\n\r\n
                            \r\n
                          1. Introduction to Graphs<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                            Chapter 2: System of Real Numbers, Exponents and Radicals (70 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                            2.1: Properties of Rational Numbers<\/h6>\r\n\r\n\r\n\r\n
                              \r\n
                            1. Introduction to Rational Numbers<\/a><\/li>\r\n
                            2. Problem 1: Introduction to Rational Numbers<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                              2.2: Decimal Fractions as Rational and Irrational Numbers \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                \r\n
                              1. Decimal Representation of Rational Number<\/a><\/li>\r\n
                              2. Problem 1: Decimal Representation of Rational Number<\/a><\/li>\r\n
                              3. Decimal Representation of Irrational Number<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                2.3: Set of Real Numbers<\/h6>\r\n\r\n\r\n\r\n
                                  \r\n
                                1. Introduction to Real Numbers<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                  2.4: Properties of Real Numbers \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                    \r\n
                                  1. Closure Law of Rational Numbers<\/a><\/li>\r\n
                                  2. Problem 1: Closure Law of Rational Numbers<\/a><\/li>\r\n
                                  3. Commutative Law<\/a><\/li>\r\n
                                  4. Associative Law<\/a><\/li>\r\n
                                  5. Problem 1: Associative Law<\/a><\/li>\r\n
                                  6. Additive Identity & Additive Inverse<\/a><\/li>\r\n
                                  7. Problem 1: Additive Identity & Additive Inverse<\/a><\/li>\r\n
                                  8. Multiplicative Identity & Inverse<\/a><\/li>\r\n
                                  9. Problem 1: Multiplicative Identity & Inverse<\/a><\/li>\r\n
                                  10. Distributive Law<\/a><\/li>\r\n
                                  11. Problem 1: Distributive Law<\/a><\/li>\r\n
                                  12. Trichotomy Property of Inequality<\/a><\/li>\r\n
                                  13. Problem 1: Trichotomy Property of Inequality<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                    2.5: Properties of Equality of Real Numbers \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                      \r\n
                                    1. Reflexive And Symmetric Property of Equality<\/a><\/li>\r\n
                                    2. Transitive Property of Equality<\/a><\/li>\r\n
                                    3. Problem 1: Transitive Property of Equality<\/a><\/li>\r\n
                                    4. Additive Property of Equality<\/a><\/li>\r\n
                                    5. Multiplicative Property of Equality<\/a><\/li>\r\n
                                    6. Cancellation Property of Equality<\/a><\/li>\r\n
                                    7. Problem 1: Cancellation Property of Equality<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                      2.6: Properties of Inequality of Real Numbers \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                        \r\n
                                      1. Archimedian Property of Inequality<\/a><\/li>\r\n
                                      2. Transitive Property of Inequality<\/a><\/li>\r\n
                                      3. Problem 1: Transitive Property of Inequality<\/a><\/li>\r\n
                                      4. Additive Property of Inequality<\/a><\/li>\r\n
                                      5. Multiplicative Property of Inequality<\/a><\/li>\r\n
                                      6. Problem 1: Multiplicative Property of Inequality<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                        2.7: Exponent<\/h6>\r\n\r\n\r\n\r\n
                                          \r\n
                                        1. Exponent or Index Definition<\/a><\/li>\r\n
                                        2. Problem 1: Exponent or Index Definition<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                          2.8: Laws of Exponents \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                            \r\n
                                          1. Law of Sum of Power of Exponents<\/a><\/li>\r\n
                                          2. Problem 1: Law of Sum of Power of Exponents<\/a><\/li>\r\n
                                          3. Law of Power of Product of Exponent<\/a><\/li>\r\n
                                          4. Problem 1: Law of Power of Product of Exponent<\/a><\/li>\r\n
                                          5. Law of Power of Power of Exponent<\/a><\/li>\r\n
                                          6. Problem 1: Law of Power of Power of Exponent<\/a><\/li>\r\n
                                          7. Law of Quotient of Power with Same Base<\/a><\/li>\r\n
                                          8. Problem 1: Law of Quotient of Power with Same Base<\/a><\/li>\r\n
                                          9. Law of Power of a Fraction<\/a><\/li>\r\n
                                          10. Problem 1: Law of Power of a Fraction<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                            2.9: Radicals and Square Root of Positive Real Number \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                              \r\n
                                            1. Introduction to Radical<\/a><\/li>\r\n
                                            2. Square Root<\/a><\/li>\r\n
                                            3. Problem 1: Square Root<\/a><\/li>\r\n
                                            4. Properties of Square Root<\/a><\/li>\r\n
                                            5. Problem 1: Properties of Square Root<\/a><\/li>\r\n
                                            6. More on Properties of Square Root<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                              2.10: The nth Root of a Positive Real Number \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                \r\n
                                              1. qth Root of x<\/a><\/li>\r\n
                                              2. Problem 1: qth Root of x<\/a><\/li>\r\n
                                              3. Properties of qth Root of x<\/a><\/li>\r\n
                                              4. Problem 1: Properties of qth Root of x<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                2.11: Rational Exponents \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                  \r\n
                                                1. Rational Exponents<\/a><\/li>\r\n
                                                2. Problem 1: Rational Exponents<\/a><\/li>\r\n
                                                3. Properties of Rational Exponents<\/a><\/li>\r\n
                                                4. Problem 1: Properties of Rational Exponents<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                  2.12: Surds \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                    \r\n
                                                  1. Introduction to Surds<\/a><\/li>\r\n
                                                  2. Problem 1: Introduction to Surds<\/a><\/li>\r\n
                                                  3. Addition & Subtraction of Surds<\/a><\/li>\r\n
                                                  4. Problem 1: Addition & Subtraction of Surds<\/a><\/li>\r\n
                                                  5. Problem 2: Addition & Subtraction of Surds<\/a><\/li>\r\n
                                                  6. Multiplication & Division of Surds<\/a><\/li>\r\n
                                                  7. Problem 1: Multiplication & Division of Surds<\/a><\/li>\r\n
                                                  8. Problem 2: Multiplication & Division of Surds<\/a><\/li>\r\n
                                                  9. Introduction to Rationalization<\/a><\/li>\r\n
                                                  10. Rationalizing Denominator & its Types<\/a><\/li>\r\n
                                                  11. Problem 1: Rationalizing Denominator & its Types<\/a><\/li>\r\n
                                                  12. Problem 2: Rationalizing Denominator & its Types<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                    Chapter 3: Logarithms (37 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                    3.1: Introduction<\/h6>\r\n\r\n\r\n\r\n
                                                      \r\n
                                                    1. Logarithm Definition<\/a><\/li>\r\n
                                                    2. Problem 1: Logarithm Definition<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                      3.2: Secintific Notation \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                        \r\n
                                                      1. Introduction to Scientific Notation<\/a><\/li>\r\n
                                                      2. Problem 1: Introduction to Scientific Notation<\/a><\/li>\r\n
                                                      3. Adding & Subtracting Scientific Notation<\/a><\/li>\r\n
                                                      4. Problem 1: Adding & Subtracting Scientific Notation<\/a><\/li>\r\n
                                                      5. Multiplication of Numbers in Scientific Notation<\/a><\/li>\r\n
                                                      6. Problem 1: Multiplication of Numbers in Scientific Notation<\/a><\/li>\r\n
                                                      7. Division of Numbers in Scientific Notation<\/a><\/li>\r\n
                                                      8. Problem 1: Division of Numbers in Scientific Notation<\/a><\/li>\r\n
                                                      9. Converting Scientific to Common form<\/a><\/li>\r\n
                                                      10. Problem 1: Converting Scientific to Common form<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                        3.3: Definition of Logarithm \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                          \r\n
                                                        1. Logarithm Definition<\/a><\/li>\r\n
                                                        2. Problem 1: Logarithm Definition<\/a><\/li>\r\n
                                                        3. Converting Log to Exponential Form<\/a><\/li>\r\n
                                                        4. Problem 1: Converting Log to Exponential Form<\/a><\/li>\r\n
                                                        5. Converting Exponential to Log Form<\/a><\/li>\r\n
                                                        6. Problem 1: Converting Exponential to Log Form<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                          3.4: Laws of Logarithm \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                            \r\n
                                                          1. Product Law of Logarithm<\/a><\/li>\r\n
                                                          2. Problem 1: Product Law of Logarithm<\/a><\/li>\r\n
                                                          3. Power Law of Logarithm<\/a><\/li>\r\n
                                                          4. Problem 1: Power Law of Logarithm<\/a><\/li>\r\n
                                                          5. Quotient Law of Logarithm<\/a><\/li>\r\n
                                                          6. Problem 1: Quotient Law of Logarithm<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                            3.5: Change of Base in Logarithms<\/h6>\r\n\r\n\r\n\r\n
                                                              \r\n
                                                            1. Law of Change of Base of Logarithm<\/a><\/li>\r\n
                                                            2. Problem 1: Law of Change of Base of Logarithm<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                              3.6: Common Logarithms \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                \r\n
                                                              1. Common Logarithm<\/a><\/li>\r\n
                                                              2. Problem 1: Common Logarithm<\/a><\/li>\r\n
                                                              3. Characteristic & Mantissa of Logarithm<\/a><\/li>\r\n
                                                              4. Problem 1: Characteristic & Mantissa of Logarithm<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                3.7: Antilogarithms<\/h6>\r\n\r\n\r\n\r\n
                                                                  \r\n
                                                                1. Introduction to Anti-Logarithms<\/a><\/li>\r\n
                                                                2. Problem 1: Introduction to Anti-Logarithms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                  3.8: Applications of Logarithms in Computation<\/h6>\r\n\r\n\r\n\r\n
                                                                    \r\n
                                                                  1. Applications of Logarithm Laws in Calculations<\/a><\/li>\r\n
                                                                  2. Problem 1: Applications of Logarithm Laws in Calculations<\/a><\/li>\r\n
                                                                  3. Problem 2: Applications of Logarithm Laws in Calculations<\/a><\/li>\r\n
                                                                  4. Problem 3: Applications of Logarithm Laws in Calculations<\/a><\/li>\r\n
                                                                  5. Problem 4: Applications of Logarithm Laws in Calculations<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                    Chapter 4: Algebraic Expression (39 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                    4.1: Varibales and Constants<\/h6>\r\n\r\n\r\n\r\n
                                                                      \r\n
                                                                    1. Introducing Variable & Constant<\/a><\/li>\r\n
                                                                    2. Problem 1: Introducing Variable & Constant<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                      4.2: Coefficient<\/h6>\r\n\r\n\r\n\r\n
                                                                        \r\n
                                                                      1. Introducing Coefficient & Exponent<\/a><\/li>\r\n
                                                                      2. Problem 1: Introducing Coefficient & Exponent<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                        4.3: Algebraic Expressions<\/h6>\r\n\r\n\r\n\r\n
                                                                          \r\n
                                                                        1. Introducing Algebraic Expression<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                          4.4: Kinds of Algebraic Expressions \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                            \r\n
                                                                          1. Introduction to Polynomials<\/a><\/li>\r\n
                                                                          2. Problem 1: Introduction to Polynomials<\/a><\/li>\r\n
                                                                          3. Rational & Irrational Expressions<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                            4.5: Classification of Polynomials<\/h6>\r\n\r\n\r\n\r\n
                                                                              \r\n
                                                                            1. Polynomials w.r.t Terms & Variables<\/a><\/li>\r\n
                                                                            2. Problem 1: Polynomials w.r.t Terms & Variables<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                              4.6: Order of Algebraic Expressions<\/h6>\r\n\r\n\r\n\r\n
                                                                                \r\n
                                                                              1. Ordering of an Algebraic Expressions<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                4.7: Value of Algebraic Expression<\/h6>\r\n\r\n\r\n\r\n
                                                                                  \r\n
                                                                                1. Value of an Algebraic Expression<\/a><\/li>\r\n
                                                                                2. Problem 1: Value of an Algebraic Expression<\/a><\/li>\r\n
                                                                                3. Problem 2: Value of an Algebraic Expression<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                  4.8: Fundamental Operations on Algebraic Expressions \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                    \r\n
                                                                                  1. Addition of Algebraic Expression<\/a><\/li>\r\n
                                                                                  2. Problem 1: Addition of Algebraic Expression<\/a><\/li>\r\n
                                                                                  3. Equality Property of Rational Expression<\/a><\/li>\r\n
                                                                                  4. Product of Algebraic Expression<\/a><\/li>\r\n
                                                                                  5. Problem 1: Product of Algebraic Expression<\/a><\/li>\r\n
                                                                                  6. Division of Algebraic Expression<\/a><\/li>\r\n
                                                                                  7. Problem 1: Division of Algebraic Expression<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                    4.9: Remainder Theorem<\/h6>\r\n\r\n\r\n\r\n
                                                                                      \r\n
                                                                                    1. Remainder Theorem<\/a><\/li>\r\n
                                                                                    2. Problem 1: Remainder Theorem<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                      4.10: Formula and their Applications \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                        \r\n
                                                                                      1. Square of Sum of Two Terms<\/a><\/li>\r\n
                                                                                      2. Problem 1: Square of Sum of Two Terms<\/a><\/li>\r\n
                                                                                      3. Square of Difference of Two Terms<\/a><\/li>\r\n
                                                                                      4. Difference of Square of Two Terms<\/a><\/li>\r\n
                                                                                      5. Square of Sum of Three Terms<\/a><\/li>\r\n
                                                                                      6. Problem 1: Square of Sum of Three Terms<\/a><\/li>\r\n
                                                                                      7. Cube of Sum of Two Terms<\/a><\/li>\r\n
                                                                                      8. Problem 1: Cube of Sum of Two Terms<\/a><\/li>\r\n
                                                                                      9. Cube of Difference of Two Terms<\/a><\/li>\r\n
                                                                                      10. Problem 1: Cube of Difference of Two Terms<\/a><\/li>\r\n
                                                                                      11. Sum & Differences of Cube<\/a><\/li>\r\n
                                                                                      12. Problem 1: Sum & Differences of Cube<\/a><\/li>\r\n
                                                                                      13. Twice the Sum of Square of Two Terms<\/a><\/li>\r\n
                                                                                      14. Problem 1: Twice the Sum of Square of Two Termss<\/a><\/li>\r\n
                                                                                      15. Four Times Product of Two Terms<\/a><\/li>\r\n
                                                                                      16. Problem 1: Four Times Product of Two Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                        Chapter 5: Factorization, H.C.F, L.C.M, Simplification and Square Root (49 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                        5.1: Revision \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                          \r\n
                                                                                        1. Factoring Trinomial & Tetranomial of Degree One<\/a><\/li>\r\n
                                                                                        2. Problem 1: Factoring Trinomial & Tetranomial of Degree One<\/a><\/li>\r\n
                                                                                        3. Problem 2: Factoring Trinomial & Tetranomial of Degree One<\/a><\/li>\r\n
                                                                                        4. Factoring Square of Sum Or Difference of Two Terms<\/a><\/li>\r\n
                                                                                        5. Problem 1: Factoring Square of Sum Or Difference of Two Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                          5.2: Factors of Expressions Reducible to Difference of Square of Two Terms \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                            \r\n
                                                                                          1. Factoring Difference of Square of Two Terms<\/a><\/li>\r\n
                                                                                          2. Problem 1: Factoring Difference of Square of Two Terms<\/a><\/li>\r\n
                                                                                          3. Problem 2: Factoring Difference of Square of Two Terms<\/a><\/li>\r\n
                                                                                          4. Factoring Polynomial of Degree Four<\/a><\/li>\r\n
                                                                                          5. Problem 1: Factoring Polynomial of Degree Four<\/a><\/li>\r\n
                                                                                          6. Problem 2 : Factoring Polynomial of Degree Four<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                            5.3: Factors of the Quadratic Polynomial \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                              \r\n
                                                                                            1. Factoring Quadratic Equation-Leading Coefficient-1<\/a><\/li>\r\n
                                                                                            2. Problem 1: Factoring Quadratic Equation-Leading Coefficient-1<\/a><\/li>\r\n
                                                                                            3. Factoring Quadratic Polynomial-Non-1 Leading Coefficient<\/a><\/li>\r\n
                                                                                            4. Problem 1: Factoring Quadratic Polynomial-Non-1 Leading Coefficient<\/a><\/li>\r\n
                                                                                            5. Problem 2: Factoring Quadratic Polynomial-Non-1 Leading Coefficient<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                              5.4: Factoring Sum or Difference of Cube of Two Terms<\/h6>\r\n\r\n\r\n\r\n
                                                                                                \r\n
                                                                                              1. Factoring Sum or Difference of Cube of Two Terms<\/a><\/li>\r\n
                                                                                              2. Problem 1: Factoring Sum or Difference of Cube of Two Terms<\/a><\/li>\r\n
                                                                                              3. Problem 2: Factoring Sum or Difference of Cube of Two Terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                5.5: Factoring Sum of Cube of Three Terms Difference Three Times their Combined Produ<\/h6>\r\n\r\n\r\n\r\n
                                                                                                  \r\n
                                                                                                1. Factoring sum of cube of three temrs<\/a><\/li>\r\n
                                                                                                2. Problem 1: Factoring sum of cube of three terms<\/a><\/li>\r\n
                                                                                                3. Problem 2: Factoring sum of cube of three terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                  5.6: Factoring Product of Difference of Two of All Three Terms<\/h6>\r\n\r\n\r\n\r\n
                                                                                                    \r\n
                                                                                                  1. Factoring product of difference of two of all three terms<\/a><\/li>\r\n
                                                                                                  2. Problem 1: Factoring product of difference of two of all three terms<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                    5.7: Factorization by Using Remainder theorem<\/h6>\r\n\r\n\r\n\r\n
                                                                                                      \r\n
                                                                                                    1. Factorization by using Remainder Theorem<\/a><\/li>\r\n
                                                                                                    2. Problem 1: Factorization by using Remainder Theorem<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                      5.8: Highest Common Factor \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                        \r\n
                                                                                                      1. H.C.F or G.C.D of Algebraic Expressions<\/a><\/li>\r\n
                                                                                                      2. Problem 1: H.C.F or G.C.D of Algebraic Expressions<\/a><\/li>\r\n
                                                                                                      3. Problem 2: H.C.F or G.C.D of Algebraic Expressions<\/a><\/li>\r\n
                                                                                                      4. H.C.F of Algebraic Expression by Division<\/a><\/li>\r\n
                                                                                                      5. Problem 1: H.C.F of Algebraic Expression by Division<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                        5.9: Least Common Multiple of Polynomials<\/h6>\r\n\r\n\r\n\r\n
                                                                                                          \r\n
                                                                                                        1. L.C.M of Algebraic Expression by Factorization<\/a><\/li>\r\n
                                                                                                        2. Problem 1: L.C.M of Algebraic Expression by Factorization<\/a><\/li>\r\n
                                                                                                        3. Problem 2: L.C.M of Algebraic Expression by Factorization<\/a><\/li>\r\n
                                                                                                        4. Problem 3: L.C.M of Algebraic Expression by Factorization<\/a><\/li>\r\n
                                                                                                        5. L.C.M of Algebraic Expression by formula<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                          5.10: Simplification of Algebraic Fractions \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                            \r\n
                                                                                                          1. Adding and Subtracting Algebraic Expressions<\/a><\/li>\r\n
                                                                                                          2. Dividing & Multiplying Algebraic Expressions<\/a><\/li>\r\n
                                                                                                          3. Problem 1: Dividing & Multiplying Algebraic Expressions<\/a><\/li>\r\n
                                                                                                          4. Problem 2: Dividing & Multiplying Algebraic Expressions<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                            5.11: Simplification of Algebraic Fractions Involving Four Fundamental Operations Toge<\/h6>\r\n\r\n\r\n\r\n
                                                                                                              \r\n
                                                                                                            1. Simplication of algebraic fraction with all four operations<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                              5.12: The Square Root of an Algebraic Expression \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                \r\n
                                                                                                              1. Square Root of Algebraic Expression-Factorization<\/a><\/li>\r\n
                                                                                                              2. Problem 1: Square Root of Algebraic Expression-Factorization<\/a><\/li>\r\n
                                                                                                              3. Problem 2: Square Root of Algebraic Expression-Factorization<\/a><\/li>\r\n
                                                                                                              4. Square Root of Algebraic Expression-Division<\/a><\/li>\r\n
                                                                                                              5. Problem 1: Square Root of Algebraic Expression-Division<\/a><\/li>\r\n
                                                                                                              6. Problem 2: Square Root of Algebraic Expression-Division<\/a><\/li>\r\n
                                                                                                              7. Square Root of Rational Expression<\/a><\/li>\r\n
                                                                                                              8. Problem 1: Square Root of Rational Expression<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                Chapter 6: Algebraic Sentences (28 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                6.1: Solution of Simple Linear Equations in One or Two Variables \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                  \r\n
                                                                                                                1. Solution of Simple Linear Equations in one Variables<\/a><\/li>\r\n
                                                                                                                2. Problem 1: Solution of Simple Linear Equations in one Variables<\/a><\/li>\r\n
                                                                                                                3. Solving Simultaneous Linear Equations by Substitution<\/a><\/li>\r\n
                                                                                                                4. Problem 1: Solving Simultaneous Linear Equations by Substitution<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                  6.2: Graphical Solution of Two Simultaneous Linear Equations<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                    \r\n
                                                                                                                  1. Graphical Solution of Simultaneous Linear Equations<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                    6.3: Solution of Equations Involving Radicals in One Variable<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                      \r\n
                                                                                                                    1. Solving Radical Equations in One Variable<\/a><\/li>\r\n
                                                                                                                    2. Problem 1: Solving Radical Equations in One Variable<\/a><\/li>\r\n
                                                                                                                    3. Problem 1: Solving Radical Equations in One Variable<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                      6.4: Solution of Equations in One Variable Involving Absolute Value \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                        \r\n
                                                                                                                      1. Introduction to absolute value equation<\/a><\/li>\r\n
                                                                                                                      2. Problem 1: Introduction to absolute value equation<\/a><\/li>\r\n
                                                                                                                      3. Solving Absolute Valued Equations “<\/a><\/li>\r\n
                                                                                                                      4. Problem 1: Solving Absolute Valued Equations<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                        6.5: Inequalities or Inequations \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                          \r\n
                                                                                                                        1. Solution of Inequalities<\/a><\/li>\r\n
                                                                                                                        2. Problem 1: Solution of Inequalities<\/a><\/li>\r\n
                                                                                                                        3. Representing Solution of Inequalities on Number Line<\/a><\/li>\r\n
                                                                                                                        4. Problem 1: Representing Solution of Inequalities on Number Line<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                          6.6: Quadratic Equations in One Variable<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                            \r\n
                                                                                                                          1. Quadratic Equations in One Variable<\/a><\/li>\r\n
                                                                                                                          2. Problem 1: Quadratic Equations in One Variable<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                            6.7: Solution of Quadratic Equations by Factorization<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                              \r\n
                                                                                                                            1. Solving Quadratic Equations by Factorization<\/a><\/li>\r\n
                                                                                                                            2. Problem 1: Solving Quadratic Equations by Factorization<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                              6.8: Solution of Quadratic Equations by Completing Squares<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                \r\n
                                                                                                                              1. Solving Quadratic Equations by Completing the Squares<\/a><\/li>\r\n
                                                                                                                              2. Problem 1: Solving Quadratic Equations by Completing the Squares<\/a><\/li>\r\n
                                                                                                                              3. Problem 2: Solving Quadratic Equations by Completing the Squares<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                6.9: Derivation of Quadratic Formula<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                  \r\n
                                                                                                                                1. Derivation of Quadratic formula<\/a><\/li>\r\n
                                                                                                                                2. Problem 1: Derivation of Quadratic formula<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                  6.10: Solution of Quadratic Equations by Quadratic Formula<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                    \r\n
                                                                                                                                  1. Solving Quadratic Equation by Quadratic formula<\/a><\/li>\r\n
                                                                                                                                  2. Problem1-Solving Quadratic Equation-Quadratic Formula<\/a><\/li>\r\n
                                                                                                                                  3. Problem 2: Solving Quadratic Equation by Quadratic formula<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                    Chapter 7: Matrices (63 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                    7.1: Introduction<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                      \r\n
                                                                                                                                    1. Introduction to Matrix<\/a><\/li>\r\n
                                                                                                                                    2. Problem 1: Introduction to Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                      7.2: Notation<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                        \r\n
                                                                                                                                      1. Location of elements in Matrix<\/a><\/li>\r\n
                                                                                                                                      2. Problem 1: Location of elements in Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                        7.3: Order of Matrix<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                          \r\n
                                                                                                                                        1. Order of Matrix<\/a><\/li>\r\n
                                                                                                                                        2. Problem 1: Order of Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                          7.4: Location of Elements or Entries<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                            \r\n
                                                                                                                                          1. Location of elements in Matrix<\/a><\/li>\r\n
                                                                                                                                          2. Problem 1: Location of elements in Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                            7.5: Types of Matrices \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                              \r\n
                                                                                                                                            1. Row Matrix and Column Matrix<\/a><\/li>\r\n
                                                                                                                                            2. Problem1-Singular and Non-Singular Matrix<\/a><\/li>\r\n
                                                                                                                                            3. Problem 1: Row Matrix and Column Matrix<\/a><\/li>\r\n
                                                                                                                                            4. Square Matrix and Rectangular Matrix<\/a><\/li>\r\n
                                                                                                                                            5. Problem2-Singular and Non-Singular Matrix<\/a><\/li>\r\n
                                                                                                                                            6. Problem 1: Square Matrix and Rectangular Matrix<\/a><\/li>\r\n
                                                                                                                                            7. Null Matrix or Zero Matrix<\/a><\/li>\r\n
                                                                                                                                            8. Problem 1: Null Matrix or Zero Matrix<\/a><\/li>\r\n
                                                                                                                                            9. Negative of Matrix<\/a><\/li>\r\n
                                                                                                                                            10. Problem 1: Negative of Matrix<\/a><\/li>\r\n
                                                                                                                                            11. Diagonal Matrix<\/a><\/li>\r\n
                                                                                                                                            12. Problem 1: Diagonal Matrix<\/a><\/li>\r\n
                                                                                                                                            13. Scalar Matrix<\/a><\/li>\r\n
                                                                                                                                            14. Problem 1: Scalar Matrix<\/a><\/li>\r\n
                                                                                                                                            15. Identity Matrix<\/a><\/li>\r\n
                                                                                                                                            16. Problem 1: Identity Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                              7.6: Transpose of Matrix<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                \r\n
                                                                                                                                              1. Transpose of a Matrix<\/a><\/li>\r\n
                                                                                                                                              2. Problem 1: Transpose of a Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                7.7: Equality of Matrices<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                  \r\n
                                                                                                                                                1. Equal Matrices<\/a><\/li>\r\n
                                                                                                                                                2. Problem 1: Equal Matrices<\/a><\/li>\r\n
                                                                                                                                                3. Problem 2: Equal Matrices<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                  7.8: Addition of Matrices<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                    \r\n
                                                                                                                                                  1. Addition of Matrices<\/a><\/li>\r\n
                                                                                                                                                  2. Problem 1: Addition of Matrices<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                    7.9: Additive Identity<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                      \r\n
                                                                                                                                                    1. Additive Identity of a Matrix<\/a><\/li>\r\n
                                                                                                                                                    2. Problem 1: Additive Identity of a Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                      7.10: Additive Inverse of A Matrix<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                        \r\n
                                                                                                                                                      1. Additive Inverse of a Matrix<\/a><\/li>\r\n
                                                                                                                                                      2. Problem 1: Additive Inverse of a Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                        7.11: Commutative Property w.r.t Addition<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                          \r\n
                                                                                                                                                        1. Commutative Law under Addition for Matrices<\/a><\/li>\r\n
                                                                                                                                                        2. Problem 1: Commutative Law under Addition for Matrices<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                          7.12: Associative Property w.r.t Addition<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                            \r\n
                                                                                                                                                          1. Associaitve Law under Addition for Matrices<\/a><\/li>\r\n
                                                                                                                                                          2. Problem 1: Multiplication of Matrices<\/a><\/li>\r\n
                                                                                                                                                          3. Problem 1: Associaitve Law under Addition for Matrices<\/a><\/li>\r\n
                                                                                                                                                          4. Problem 2: Multiplication of Matrices<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                            7.13: Subtraction of Matrices<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                              \r\n
                                                                                                                                                            1. Subtraction of Matrices<\/a><\/li>\r\n
                                                                                                                                                            2. Problem 1: Subtraction of Matrices<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                              7.14: Multiplication of Matrix by Real Number<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                \r\n
                                                                                                                                                              1. Multiplication of Matrix by a Real Number<\/a><\/li>\r\n
                                                                                                                                                              2. Problem 1: Multiplication of Matrix by a Real Number<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                7.15: Matrix Multiplication<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                  \r\n
                                                                                                                                                                1. Multiplication of Matrices<\/a><\/li>\r\n
                                                                                                                                                                2. Problem 1: Multiplication of Matrices<\/a><\/li>\r\n
                                                                                                                                                                3. Problem 2: Multiplication of Matrices<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                  7.16: Properties of Multiplication of Matrices \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                    \r\n
                                                                                                                                                                  1. Associative law under Multiplication of matrices<\/a><\/li>\r\n
                                                                                                                                                                  2. Problem 1: Associative law under Multiplication of matrices<\/a><\/li>\r\n
                                                                                                                                                                  3. Distributive Law of Multiplication over Addition for Matrices<\/a><\/li>\r\n
                                                                                                                                                                  4. Problem 1: Distributive Law of Multiplication over Addition for Matri<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                    7.17: Identity Matrix w.r.t Multiplication<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                      \r\n
                                                                                                                                                                    1. Multiplicative Identity of a Matrix<\/a><\/li>\r\n
                                                                                                                                                                    2. Problem 1: Multiplicative Identity of a Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                      7.18: Determinant of Matrix<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                        \r\n
                                                                                                                                                                      1. Determinant of 2-by-2 Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                        7.19: Singular & Non-Singular Matrices<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                          \r\n
                                                                                                                                                                        1. Singular and Non-singular Matrix<\/a><\/li>\r\n
                                                                                                                                                                        2. Problem 1: Singular and Non-singular Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                          7.20: Adjoint of Matrix<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                            \r\n
                                                                                                                                                                          1. Adjoint of a Matrix<\/a><\/li>\r\n
                                                                                                                                                                          2. Problem 1: Adjoint of a Matrix<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                            7.21: Multiplicative Inverse of Matrix<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                              \r\n
                                                                                                                                                                            1. Inverse of Matrix using Adjoint<\/a><\/li>\r\n
                                                                                                                                                                            2. Problem 1: Inverse of Matrix using Adjoint<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                              7.22: Solution of Two Simultaneous Linear Equations Using Matrices<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                \r\n
                                                                                                                                                                              1. Solving Simultaneous Equations-Inversion Method<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                7.23: Cramers Rule<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                  \r\n
                                                                                                                                                                                1. Solving Simultaneous Equations-Cramers Rule<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                  Chapter 8: Elimination (8 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                                                  8.1: Concept of Elimination<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                    \r\n
                                                                                                                                                                                  1. Concept of Elimination<\/a><\/li>\r\n
                                                                                                                                                                                  2. Problem 1: Concept of Elimination<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                    8.2: Elimination by Substitution Method<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                      \r\n
                                                                                                                                                                                    1. Elimination by Substitution Method<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                      8.3: Elimination by Comparison Method<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                        \r\n
                                                                                                                                                                                      1. Elimination by Comparison Method<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                        8.4: Elimination by Application of Formulae<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                          \r\n
                                                                                                                                                                                        1. Elimination by the Application of Formulae<\/a><\/li>\r\n
                                                                                                                                                                                        2. Problem 1: Elimination by the Application of Formulae<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                          8.5: Method of Cross-Multiplication<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                            \r\n
                                                                                                                                                                                          1. Method of Cross-Multiplication<\/a><\/li>\r\n
                                                                                                                                                                                          2. Problem 1: Method of Cross-Multiplication<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                            Chapter 9: Variations (38 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                                                            9.1: Ratio<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                              \r\n
                                                                                                                                                                                            1. Concept of Ratio<\/a><\/li>\r\n
                                                                                                                                                                                            2. Problem 1: Concept of Ratio<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                              9.2: Proportion<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                \r\n
                                                                                                                                                                                              1. Introduction to Proportion<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                9.3: Continued Proportion<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                1. Continued Proportional<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                  9.4: Variation \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                  1. Direct Variations<\/a><\/li>\r\n
                                                                                                                                                                                                  2. Problem 1: Direct Variations<\/a><\/li>\r\n
                                                                                                                                                                                                  3. Problem 2: Direct Variations<\/a><\/li>\r\n
                                                                                                                                                                                                  4. Inverse Variations<\/a><\/li>\r\n
                                                                                                                                                                                                  5. Problem 1: Inverse Variations<\/a><\/li>\r\n
                                                                                                                                                                                                  6. Problem 2: Inverse Variations<\/a><\/li>\r\n
                                                                                                                                                                                                  7. Problem 3: Inverse Variations<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                    9.5: K-Method And theorems on Proportion<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                    1. K-Method and Theorem 1 on Proportion<\/a><\/li>\r\n
                                                                                                                                                                                                    2. Problem 1: K-Method and Theorem 1 on Proportion<\/a><\/li>\r\n
                                                                                                                                                                                                    3. K-Method and Theorem 2 on Proportion<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                      9.6: Properties of Proportion \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                      1. Law of Proportion<\/a><\/li>\r\n
                                                                                                                                                                                                      2. Problem 1: Law of Proportion<\/a><\/li>\r\n
                                                                                                                                                                                                      3. Duplicate Ratio<\/a><\/li>\r\n
                                                                                                                                                                                                      4. Problem 1: Duplicate Ratio<\/a><\/li>\r\n
                                                                                                                                                                                                      5. Invertendo Theorem<\/a><\/li>\r\n
                                                                                                                                                                                                      6. Problem 1: Invertendo Theorem<\/a><\/li>\r\n
                                                                                                                                                                                                      7. Alternando Theorem<\/a><\/li>\r\n
                                                                                                                                                                                                      8. Problem 1: Alternando Theorem<\/a><\/li>\r\n
                                                                                                                                                                                                      9. Componendo Theorem<\/a><\/li>\r\n
                                                                                                                                                                                                      10. Problem 1: Componendo Theorem<\/a><\/li>\r\n
                                                                                                                                                                                                      11. Dividendo Theorem<\/a><\/li>\r\n
                                                                                                                                                                                                      12. Problem 1: Dividendo Theorem<\/a><\/li>\r\n
                                                                                                                                                                                                      13. Componendo-Dividendo Theorem<\/a><\/li>\r\n
                                                                                                                                                                                                      14. Transitive Property of Ratio<\/a><\/li>\r\n
                                                                                                                                                                                                      15. Problem 1: Transitive Property of Ratio<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                        9.7: Word Problems \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                        1. Word Problem of Ratio of Shadow & Height<\/a><\/li>\r\n
                                                                                                                                                                                                        2. Problem 1: Word Problem of Ratio of Shadow & Height<\/a><\/li>\r\n
                                                                                                                                                                                                        3. Word problem of Ratio between Two Numbers<\/a><\/li>\r\n
                                                                                                                                                                                                        4. Problem 1: Word problem of Ratio between Two Numbers<\/a><\/li>\r\n
                                                                                                                                                                                                        5. Word problem of Ratio of Sides of Polygons<\/a><\/li>\r\n
                                                                                                                                                                                                        6. Problem 1: Word problem of Ratio of Sides of Polygons<\/a><\/li>\r\n
                                                                                                                                                                                                        7. Word problem of Ratio of angles of Polygons<\/a><\/li>\r\n
                                                                                                                                                                                                        8. Problem 1: Word problem of Ratio of angles of Polygons<\/a><\/li>\r\n
                                                                                                                                                                                                        9. Word problem of Ratio of Income & Expenses<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                          Chapter 10: Information Handling (114 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                          10.1: Introduction<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                          1. Concept of Information Handling<\/a><\/li>\r\n
                                                                                                                                                                                                          2. Problem 1: Concept of Information Handling<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                            10.2: A Few Definitions \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                            1. Data, Collection of Data, Presentation of Data<\/a><\/li>\r\n
                                                                                                                                                                                                            2. Problem 1: Data, Collection of Data, Presentation of Data<\/a><\/li>\r\n
                                                                                                                                                                                                            3. Constant & Variable.<\/a><\/li>\r\n
                                                                                                                                                                                                            4. Problem 1: Constant & Variable.<\/a><\/li>\r\n
                                                                                                                                                                                                            5. Population<\/a><\/li>\r\n
                                                                                                                                                                                                            6. Problem 1:Population<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                              10.3: Types of Variables<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                              1. Types of Variables<\/a><\/li>\r\n
                                                                                                                                                                                                              2. Problem 1: Types of Variables<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                10.4: Types of Data<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                1. Types of Data<\/a><\/li>\r\n
                                                                                                                                                                                                                2. Problem 1: Types of Data<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                  10.5: Collection of Data<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                  1. Data, Collection of Data, Presentation of Data<\/a><\/li>\r\n
                                                                                                                                                                                                                  2. Problem 1: Data, Collection of Data, Presentation of Data<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                    10.6: Presentation of Data Or Information<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                                    1. Data, Collection of Data, Presentation of Data<\/a><\/li>\r\n
                                                                                                                                                                                                                    2. Problem 1: Data, Collection of Data, Presentation of Data<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                      10.7: Classification<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                                      1. Classification & No. of Classes<\/a><\/li>\r\n
                                                                                                                                                                                                                      2. Problem 1: Classification & No. of Classes<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                        10.8: A Few Definitions \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                                        1. Ungrouped & Grouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                        2. Problem 1: Ungrouped & Grouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                        3. Classification & No. of Classes<\/a><\/li>\r\n
                                                                                                                                                                                                                        4. Problem 1: Classification & No. of Classes<\/a><\/li>\r\n
                                                                                                                                                                                                                        5. Specification of Classes<\/a><\/li>\r\n
                                                                                                                                                                                                                        6. Problem 1: Specification of Classes<\/a><\/li>\r\n
                                                                                                                                                                                                                        7. Class interval & Class Limits<\/a><\/li>\r\n
                                                                                                                                                                                                                        8. Problem 1: Class interval & Class Limits<\/a><\/li>\r\n
                                                                                                                                                                                                                        9. Class Mark & Class Boundaries.<\/a><\/li>\r\n
                                                                                                                                                                                                                        10. Problem 1: Class Mark & Class Boundaries.<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                          10.9: Tabulation \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                                          1. One way Tabulation<\/a><\/li>\r\n
                                                                                                                                                                                                                          2. Problem 1: One way Tabulation<\/a><\/li>\r\n
                                                                                                                                                                                                                          3. Two way Tabulation<\/a><\/li>\r\n
                                                                                                                                                                                                                          4. Problem 1: Two way Tabulation<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                            10.10: Frequency Distribution \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                                            1. Construction of Continuous Frequency Table<\/a><\/li>\r\n
                                                                                                                                                                                                                            2. Problem 1: Construction of Continuous Frequency Table<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                              10.11: Construction of Frequency Distribution \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                                              1. Formation of Frequency Distribution byTally Bar Method<\/a><\/li>\r\n
                                                                                                                                                                                                                              2. Problem 1: Formation of Frequency Distribution by Tally Bar Method<\/a><\/li>\r\n
                                                                                                                                                                                                                              3. Formation of Frequency Distribution by Direct Method<\/a><\/li>\r\n
                                                                                                                                                                                                                              4. Problem 1: Formation of Frequency Distribution by Direct Method<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                10.12: Graphs<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                                1. Advantages and Disadvantages of Graphs<\/a><\/li>\r\n
                                                                                                                                                                                                                                2. Problem 1: Advantages and Disadvantages of Graphs<\/a><\/li>\r\n
                                                                                                                                                                                                                                3. Construction of Graphs<\/a><\/li>\r\n
                                                                                                                                                                                                                                4. Problem 1: Construction of Graphs<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                  10.13: Histogram \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                                  1. Graph of Frequency Distribution by Histogram<\/a><\/li>\r\n
                                                                                                                                                                                                                                  2. Problem 1: Constructing Histogram with Equal Intervals<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                    10.14: Frequency Polygon<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                                                    1. Construction of Frequency Polygon<\/a><\/li>\r\n
                                                                                                                                                                                                                                    2. Problem 1: Construction of Frequency Polygon<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                      10.15: Diagrams Representation \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                                                      1. Simple Bar Diagram<\/a><\/li>\r\n
                                                                                                                                                                                                                                      2. Problem 1: Simple Bar Diagram<\/a><\/li>\r\n
                                                                                                                                                                                                                                      3. Multiple Bar Diagram<\/a><\/li>\r\n
                                                                                                                                                                                                                                      4. Problem 1: Multiple Bar Diagram<\/a><\/li>\r\n
                                                                                                                                                                                                                                      5. Pie Diagram<\/a><\/li>\r\n
                                                                                                                                                                                                                                      6. Problem 1: Pie Diagram<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                        10.16: Measures of Location ( Central Tendency ) \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                                                        1. Measure of Location<\/a><\/li>\r\n
                                                                                                                                                                                                                                        2. Problem 1: Measure of Location<\/a><\/li>\r\n
                                                                                                                                                                                                                                        3. Importance of Measure of Central Tendency<\/a><\/li>\r\n
                                                                                                                                                                                                                                        4. Problem 1: Importance of Measure of Central Tendency<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                          10.17: Types of Measures of Central Tendency<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                                                          1. Types of Measures of Central Tendency<\/a><\/li>\r\n
                                                                                                                                                                                                                                          2. Problem 1: Types of Measures of Central Tendency<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                            10.18: Arithmetic Mean ( A.M ) \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                                                            1. Arithmetic Mean (A.M) for Ungrouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                            2. Problem 1: A.M of Ungrouped Data by Direct Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                            3. Arithmetic Mean (A.M) for Grouped Data by Direct Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                            4. Problem 1: A.M for Grouped Data by Direct Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                            5. Short formula for Computing Arithmetic Mean for Ungrouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                            6. Problem 1: A.M for Ungrouped Data by Short formula Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                            7. Short formula for Computing Arithmetic Mean for Grouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                            8. Problem 1: A.M for Grouped Data by Short formula Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                            9. Coding Method of Finding Arithmetic Mean<\/a><\/li>\r\n
                                                                                                                                                                                                                                            10. Problem 1: A.M for Ungrouped Data by Coding Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                            11. Finding A.M for Grouped Data-Coding Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                            12. Problem 1: A.M for Grouped Data by Coding Method<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                              10.19: Median \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                                                              1. Median for Ungrouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                              2. Problem 1: Median for Ungrouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                              3. Median for Grouped Continuous Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                              4. Problem 1: Median for Grouped Continuous Data<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                10.20: Mode \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                                                1. Mode for Ungrouped Discrete Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                                2. Problem 1: Mode for Ungrouped Discrete Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                                3. Mode for Grouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                                4. Problem 1: Mode for Grouped Data<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                  10.21: Merits And Demerits of Measures of Central Tendency \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                                                  1. Properties of Arithmetic Mean<\/a><\/li>\r\n
                                                                                                                                                                                                                                                  2. Problem 1: Properties of Arithmetic Mean<\/a><\/li>\r\n
                                                                                                                                                                                                                                                  3. Merits and Demerits of Median<\/a><\/li>\r\n
                                                                                                                                                                                                                                                  4. Problem 1: Merits and Demerits of Median<\/a><\/li>\r\n
                                                                                                                                                                                                                                                  5. Merits and Demerits of Mode<\/a><\/li>\r\n
                                                                                                                                                                                                                                                  6. Problem 1: Merits and Demerits of Mode<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                    10.22: Concept of Dispersion<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                                                                    1. Concept of Dispersion<\/a><\/li>\r\n
                                                                                                                                                                                                                                                    2. Problem 1: Concept of Dispersion<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                      10.23: Importance & Uses of Measures of Dispersion<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                                                                      1. Importance & Uses of Measures of Dispersion<\/a><\/li>\r\n
                                                                                                                                                                                                                                                      2. Problem 1: Importance & Uses of Measures of Dispersion<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                        10.24: Types of Measures of Dispersion \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                                                                        1. Calculation of Range for Raw or Ungrouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                                        2. Problem 1: Calculation of Range for Raw or Ungrouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                                        3. Calculation of Range for Grouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                                        4. Problem 1: Calculation of Range for Grouped Data<\/a><\/li>\r\n
                                                                                                                                                                                                                                                        5. Uses and Properties of Range<\/a><\/li>\r\n
                                                                                                                                                                                                                                                        6. Problem 1: Uses and Properties of Range<\/a><\/li>\r\n
                                                                                                                                                                                                                                                        7. Limitations or Drawbacks of Range<\/a><\/li>\r\n
                                                                                                                                                                                                                                                        8. Problem 1: Limitations or Drawbacks of Range<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                          10.25: The Variance \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                                                                          1. Calculation of Variance by Proper Mean Formula<\/a><\/li>\r\n
                                                                                                                                                                                                                                                          2. Calculation of Variance of Grouped Data by Proper Mean Formula<\/a><\/li>\r\n
                                                                                                                                                                                                                                                          3. Calculation of Variance by Short Cut Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                                          4. Problem 1: Calculation of Variance by Short Cut Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                                          5. Calculation of the Variance and Standard Deviation by Direct Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                                          6. Problem 1: Calculation of Variance by Direct Method<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                            10.26: Standard Deviation ( S.D ) \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                                                                            1. Calculation of Standard Deviation by Proper Mean Formula<\/a><\/li>\r\n
                                                                                                                                                                                                                                                            2. Problem 1: Calculation of S.D by Proper Mean formula<\/a><\/li>\r\n
                                                                                                                                                                                                                                                            3. Calculation of S.D by Short Cut Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                                            4. Problem 1: Calculation of S.D by Short Cut Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                                            5. Calculation of S.D by Direct Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                                            6. Problem 1: Calculation of S.D by Direct Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                                            7. Uses and Properties of Standard Deviation<\/a><\/li>\r\n
                                                                                                                                                                                                                                                            8. Problem 1: Uses and Properties of Standard Deviation<\/a><\/li>\r\n
                                                                                                                                                                                                                                                            9. Limitations of Variance and Standard Deviation<\/a><\/li>\r\n
                                                                                                                                                                                                                                                            10. Problem 1: Limitations of Variance and Standard Deviation<\/a><\/li>\r\n
                                                                                                                                                                                                                                                            11. Criteria for the measurement of spread of Observation<\/a><\/li>\r\n
                                                                                                                                                                                                                                                            12. Problem 1: Criteria for the measurement of spread of Observation<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                              Chapter 11: Fundamental Concepts of Geometry (29 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                              11.1: Inductive & Deductive Reasoning<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                                                                              1. Inductive and deductive reasoning<\/a><\/li>\r\n
                                                                                                                                                                                                                                                              2. Problem 1: Inductive and deductive reasoning<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                11.2: Characteristics of Deductive Method<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                                                                1. Analytical and Synthesis method to Prove theorem<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                  11.3: Basic Concepts \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                                                                  1. Introduction to Point, Line, Line-segment and Ray<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  2. Problem 1: Introduction to Point, Line, Line-segment and Ray<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  3. Collinear and Non-collinear Points<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  4. Problem 1: Collinear points and Non-collinear points<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  5. Between and Beyond the line segment<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  6. Problem 1: Between and Beyond the line segment<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  7. Line segment ray and half line<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  8. Problem 1: Line segment ray and half line<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  9. Convex Set<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  10. Problem 1: Convex Set<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  11. Opposite Rays<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  12. Problem 1: Opposite Rays<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  13. Interior and exterioir of an angle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  14. Anlge Construction Postulate<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  15. Problem 1: Anlge Construction Postulate<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  16. Adjacent Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  17. Problem 1: Adjacent Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  18. Side & Angle Bisector<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  19. Problem 1: Side and Angle Bisector<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  20. Complementary and Supplementary angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  21. Problem 1: Complementary and supplementary anlges<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  22. Acute, Obtuse and Congruent Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  23. Problem 1: Acute, Obtuse and Congruent Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  24. Vertically Opposite Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  25. Problem 1: Vertically Opposite Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                  26. Right Angle and Perpendicular<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                    Chapter 12: Demonstrative Geometry (74 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                    12.1: Theorems on Lines & Polygons \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                                                                                    1. Introduction to Geometrical Theorems<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                    2. Elements in proving a geometrical theorem<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                    3. Problem 1: Elements in proving a geometrical theorem<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                      12.2: Methods of Proof \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                                                                                      1. Problem 1: Analytical and Synthesis method to Prove theorem<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                      2. Reductio-Ad-Absurdum Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                      3. Problem 1: Reductio-Ad-Absurdum Method<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                      4. If two lines intersect each other,than vertical angles are congruent<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                        12.3: Triangle \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                                                                                        1. Interior and exterior of triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                        2. Problem 1: Interior and exterior of triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                        3. Triangluar Region and Triangular Area<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                        4. Interior and exterior angles of traingle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                        5. Included Angle and Included Side of Triangle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                          12.4: Kinds of Triangle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                                                                                          1. Kinds of Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                          2. Problem 1: Kinds of Triangle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                            12.5: One-One Correspondence between Two Triangles & Other Polygons<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                                                                                            1. Congruence of Other Polygons<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                              12.6: Congruence of Triangles<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                                                                                              1. Congruency of Triangles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                              2. Problem 1: Congruency of Triangles<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                12.7: Congruence of Other Polygons<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                                                                                1. Congruence of Other Polygons<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                2. Problem 1: Congruence of Polygons<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                  12.8: Postulate 14- Side Angle Side Postulate \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                                                                                  1. Side Angle Side Postulate<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                  2. Problem 1: side angle side postulate<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                  3. An exterior angle of a traingle is greater in measure than either of<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                  4. Problem 1:An exterior angle of a traingle is greater in measure than<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                    12.9: Transversal, Interior & Exterior Angles<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                                                                                                    1. Transversal, Interior and Exterior Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                    2. Problem 1: Transversal, Interior and Exterior Angles<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                      12.10: Alternate & Corresponding Angles<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                                                                                                      1. Alternate and corresponding Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                      2. Problem 1: Alternate and corresponding Angles<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                        12.11: Corresponding Angles<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                                                                                                        1. Alternate and corresponding Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                        2. Problem 1: Alternate and corresponding Angles<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                          12.12: Parallel Lines<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                                                                                                          1. Parallel Lines<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                          2. Problem 1: Parallel Lines<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                            12.13: Postulate 15. Parallel Lines Postulate \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                                                                                                            1. Parallel Lines Postulate<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                            2. Problem 1: Parallel Lines Postulate<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                            3. If a transversal intersects two coplanar lines<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                            4. If a transversal intersects two parallel lines<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                            5. Problem 1: If a transversal intersects two parallel lines<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                              12.14: Parallelogram<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                                                                                                              1. Kinds of Parallelogram<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                              2. Problem 1: Kinds of Parallelogram<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                12.15: Trapezoid & Trapezium \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                                                                                                1. Trapezoid and Trapezium<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                2. Problem 1: Trapezoid and Trapezium<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                3. Sum of three angles of triangle is 180 degree<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                4. Problem 1: Sum of three angles of triangle is 180 degree<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                5. Angle opposite to equal sides are equal in triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                6. Angle-Side-Angle Postulate-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                7. Side-Side-Side Postulate-3<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                8. Sides Facing Equal Angles are Equal in Triangle-2<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                9. Hypotenuse Side Postulate-4<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                10. Diagonals of Parallelogram Bisects Each Other-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                11. Parallelogram Opposite Sides – Congruent -Parallel-2<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                12. Mid point Theorem-3<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                13. All Medians of Triangle Trisect Each Other-4<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                14. Proportional Segment Theorem-5<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                15. Perpendicular Bisector Theorem-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                16. Converse of Perpendicular Bisector Theorem-2<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                17. Triangle Right Bisectors of Sides are Concurrent-3<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                18. Angle Bisector Theorem-4<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                19. Converse of Angle Bisector Theorem-5<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                  12.16: Theorems on Inequalities \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                                                                                                  1. Longer Side Inequality Theorem-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                  2. Converse of Longer Side Inequality Theorem-1a<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                  3. Problem 1: Converse of Longer Side Inequality Theorem-1a<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                  4. Triangle Sum of Two Sides is Greater Than Third-2<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                  5. Problem 2: Triangle Sum of Two Sides is Greater Than Third-3<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                  6. Shortest Distance from Point to a Line-3<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                  7. Problem 2: Shortest Distance from Point to a Line-3<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                    12.17: Similar Figures \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                                                                                                                    1. Proportional Parts of Triangle by Side Splitter Theo-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                    2. Converse of Proportional Parts of Triangle -2<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                    3. Division of Opposite Side by Angle Bisector-3<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                    4. Proportional Parts of Similar Triangle-4<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                    5. Converse of Proportional parts of similar triangle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                      12.18: Pythagoras Theorem \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                                                                                                                      1. Pythagoras Theorem-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                      2. Problem 1: Pythagoras Theorem-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                      3. Problem 2: Pythagoras Theorem-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                      4. Converse of Pythagoras Theorem-2<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                      5. Problem 1: Converse of Pythagoras Theorem-2<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                        Chapter 13: Circle (49 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                        13.1: Circle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                                                                                                                        1. Introduction to Circle & its Characteristics<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                        2. Problem 1: Introduction to Circle & its Characteristics<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                          13.2: Circumference of a Circle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                                                                                                                          1. Chord , Diameter & Circumference of a Circle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                            13.3: Chord & Secant \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                                                                                                                            1. Chord , Diameter & Circumference of a Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                            2. Problem 1: Chord , Diameter & Circumference of a Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                            3. Concept of Secant & Tangent Line<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                            4. Problem 1: Concept of Secant & Tangent Line<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                              13.4: Diameter of Circle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                                                                                                                              1. Chord , Diameter & Circumference of a Circle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                13.5: Interior & Exterior of Circle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                                                                                                                1. Introduction to Circle & its Characteristics<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                  13.6: Arc of a Circle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                                                                                                                  1. Arc of a Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                  2. Problem 1: Arc of a Circle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                    13.7: Semi-Circle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                                                                                                                                    1. Arc of a Circle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                      13.8: Minor Arc & Major Arc<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                                                                                                                                      1. Arc of a Circle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                        13.9: Central Angle of An Arc<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                                                                                                                                        1. Concept of Central Angle of an Arc<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                        2. Problem 1: Concept of Central Angle of an Arc<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                          13.10: Congruent Circles<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                                                                                                                                          1. Concept of Central Angle of an Arc<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                            13.11: Congruent Arcs<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                                                                                                                                            1. Concept of Central Angle of an Arc<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                              13.12: Inscribed Angle of an Arc<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                                                                                                                                              1. Concept of Inscribed Angle of an Arc<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                              2. Problem 1: Concept of Inscribed Angle of an Arc<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                13.13: Tangent & Point of Tangency<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                                                                                                                                1. Concept of Secant & Tangent Line<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                  13.14: Common Tangents, Common Internal Tangents And Common External Tangents to Two Ci<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                                                                                                                                  1. Concentric Circles and Common Internal and External Tangents to two C<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                  2. Problem 1: Concentric Circles,Common Internal & External Tangents of<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                    13.15: Sector of a Circle<\/h6>\r\n\r\n\r\n\r\n
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                                                                                                                                                                                                                                                                                                                                    1. Segment & Sector of a Circle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                    2. Problem 1: Segment & Sector of a Circle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                      13.16: Segment of a Circle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                                                                                                                                                      1. Segment & Sector of a Circle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                        13.17: Circum Circle of a Triangle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                                                                                                                                                        1. Concept of Circum Circle of a Triangle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                          13.18: Inscribed Circle of a Triangle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                                                                                                                                                          1. Concept of Inscribed Circle of a Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                          2. Problem 1: Concept of Inscribed Circle of a Triangle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                            13.19: Escribed Circle of a Triangle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                                                                                                                                                            1. Concept of Escribed Circle of a Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                            2. Problem 1: Concept of Escribed Circle of a Triangle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                              13.20: Theorems on Circle \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                                                                                                                                                              1. Perpendicular Radius Bisects Chord-3<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              2. Perpendicular Bisector to a Chord Circle-2<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              3. The perpendicular bisector of chord of circle passes through centre o<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              4. Congruent Chords Equidistance from Circle-4<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              5. Problem 2: Congruent Chords Equidistance from Circle-4<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              6. Chords Equidistance of Circle are Congruent-5<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              7. Problem 1: Chords Equidistance of Circle are Congruent-5<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              8. Three Non-Collinear Points Form a Circle-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              9. Problem 1: Three Non-Collinear Points Form a Circle-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              10. Central angle theorem<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              11. Problem 1: Central angle theorem<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              12. Tangent to Circle-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              13. Problem 1: Tangent to Circle-1<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              14. Converse of Tangent to Circle-2<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              15. Problem 1: Converse of Tangent to Circle-2<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              16. Tangent and radial lines are perpendicular to each other<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              17. Equal Tangent Segments from a Point to a Circle-3<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              18. Distance of Centers of Externally Tangent Circles-4a<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                              19. Distance of Centers of internally Tangent Circles-4b<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                Chapter 14: Practical Geometry (23 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                14.1: Revision \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                                                                                                                                                1. Introduction to Practical Geometry<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                2. Problem 1: Introduction to Practical Geometry<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                3. Constructing Triangle with Three Sides<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                4. Problem 1: Constructing Triangle with Three Sides<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                5. Construction of a Triangle when one angle and two sides<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                6. Constructing Triangle with Side & Two Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                7. Problem 1: Constructing Triangle with Side & Two Angles<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                  14.2: The Ambiguous Case<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                                                                                                                                                  1. Constructing Triangle-Ambiguous Case<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                    14.3: Concurrent Lines with Reference to a Triangle \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                                                                                                                                                                    1. Constructing Angler Bisectors of Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                    2. Constructing Perpendicular Bisectors of Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                    3. Constructing Medians of Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                    4. Constructing Altitudes of Triangle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                      14.4: To Draw the Circum-Circle of a Triangle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                                                                                                                                                                      1. Circumscribe a Circle About a Given Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                      2. Problem 1: Circumscribe a Circle About a Given Triangle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                        14.5: To Draw Incircle of a Triangle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                                                                                                                                                                        1. Inscribe a Circle in a Given Triangle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                        2. Problem 1: Inscribe a Circle in a Given Triangle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                          14.6: To Draw Escribed Circle Opposite To a Vertex of a Triangle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                                                                                                                                                                          1. Escribe a Circle to a Given Triangle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                            14.7: To Draw the Tangent to a Circle at a Given Point on the Circle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                                                                                                                                                                            1. To Draw the Tangent to a Circle at a Given point on the Circle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                              14.8: To Draw Two Tangents to a Circle From a Point Outside the Circle<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                                                                                                                                                                              1. Tangent from a Point Outside a Circle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                14.9: To Draw the Direct Common Tangents to the Two Given Circles. \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                                                                                                                                                                1. Direct Common Tangents to Circles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                2. Direct Common Tangents to circles by Method 2<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                3. Direct Common Tangents of Circles with Same Radii<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                  14.10: To Draw the Transverse Common Tangents to the Two Given Circles.<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                    \r\n
                                                                                                                                                                                                                                                                                                                                                                  1. Transverse Common Tangents to Circles1<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                    Chapter 15: Trigonometry (36 videos)\u00a0\u205f\u200a(Practice Test<\/a>)<\/h5>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                    15.1: Introduction<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                      \r\n
                                                                                                                                                                                                                                                                                                                                                                    1. Meaning and Importance of Trigonometry<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                    2. Problem 1: Meaning and Importance of Trigonometry<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                      15.2: Trigonometric Ratios of Acute Angles<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                        \r\n
                                                                                                                                                                                                                                                                                                                                                                      1. Trigonometric Ratios of an Acute Angle<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                      2. Problem 1: Trigonometric Ratios of an Acute Angle<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                        15.3: Values of Trigonometric Ratios of Angles of 45, 30 And 60 Degree. \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                          \r\n
                                                                                                                                                                                                                                                                                                                                                                        1. Trigonometric ratios of 45 degree<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                        2. Problem 1: Trigonometric ratios of 45 degree<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                        3. Trigonometric ratios of 30 degree and 60 degree<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                        4. Problem 1: Trigonometric ratios of 30 degree and 60 degree<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                        5. Problem 2: Trigonometric ratios of 30 degree and 60 degree<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                          15.4: Relations Between Trigonometric Ratios of the Complementary Angles.<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                            \r\n
                                                                                                                                                                                                                                                                                                                                                                          1. Trigonometric Ratios of an Complementary Angles<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                          2. Problem 1: Trigonometric Ratios of an Complementary Angles<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                            15.5: Fundamental Trigonometric Identities \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                              \r\n
                                                                                                                                                                                                                                                                                                                                                                            1. Proof of Fundamental Trigonometric Identity<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                            2. Problem 1: Proof of Fundamental Trigonometric Identity<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                            3. More on Fundamental Trigonometric Identity<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                            4. Problem 2: More on Fundamental Trigonometric Identity<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                            5. Problem 3: More on Fundamental Trigonometric Identity<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                            6. Problem 4: More on Fundamental Trigonometric Identity<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                            7. Problem 1: More on Fundamental Trigonometric Identity<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                              15.6: Solution of Right Triangle \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                                \r\n
                                                                                                                                                                                                                                                                                                                                                                              1. When measures of one side and one angle are given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                              2. Problem 1: When measures of one side and one angle are given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                              3. when measures of hypotenuse and one Acute angle are given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                              4. Problem 1: when measures of hypotenuse and one angle are given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                              5. When measures of two sides are given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                              6. Problem 1: When measures of two sides are given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                              7. When measures of hypotenuse and one side are given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                              8. Problem 1: When measures of hypotenuse and one side are given<\/a><\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                                15.7: Finding Heights and Distances by Using Trigonometric Ratios \u2009(Practice Test<\/a>)<\/h6>\r\n\r\n\r\n\r\n
                                                                                                                                                                                                                                                                                                                                                                                  \r\n
                                                                                                                                                                                                                                                                                                                                                                                1. Concept of Angle of Elevation & Depression<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                                2. Problem 1: Concept of Angle of Elevation & Depression<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                                3. when one Side & Angle of Elevation are Given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                                4. Problem 1: when one Side & Angle of Elevation are Given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                                5. when One Side & Angle of Depression are Given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                                6. Problem 1: when One Side & Angle of Depression are Given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                                7. when Hypotenuse & Angle of Elevation are Given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                                8. Problem 1: when Hypotenuse & Angle of Elevation are Given<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                                9. when Given Sides-Angle of Elevation-Depression<\/a><\/li>\r\n
                                                                                                                                                                                                                                                                                                                                                                                10. Problem 1: when Given Sides-Angle of Elevation-Depression<\/a><\/li>\r\n<\/ol>\r\n","protected":false},"excerpt":{"rendered":"

                                                                                                                                                                                                                                                                                                                                                                                  Chapter 1: Sets (108 videos)\u00a0\u205f\u200a(Practice Test) 1.1: Revision Set Definition 1.2: Some Important Sets of Numbers \u2009(Practice Test) Definition & Notation of Some Important Sets Set Notation & its Characteristics Presentation of a Set Problem 1: Presentation of a Set Set Builder Notation Problem 1: Set Builder Notation Empty set and Singleton Set Problem 1:…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-743","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/pages\/743","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=743"}],"version-history":[{"count":2,"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/pages\/743\/revisions"}],"predecessor-version":[{"id":1762,"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=\/wp\/v2\/pages\/743\/revisions\/1762"}],"wp:attachment":[{"href":"http:\/\/e-academy.com.pk\/cms\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=743"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}