# Math-X

##### Chapter 1: Sets (108 videos) (Practice Test)

###### 1.1: Revision

###### 1.2: Some Important Sets of Numbers (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: Empty Set & Singleton Set
- Finite & Infinite Set
- Problem 1: Finite & Infinite Set
- Equal & Equivalent Sets
- Problem 1: Equal & Equivalent Sets
- Subset Definition
- Problem 1: Subset Definition
- Proper Subset & Improper Subset
- Problem 1: Proper Subset & Improper Subset
- Properties of Subset
- Problem 1: Properties of Subset
- Power Set
- Problem 1: Power Set

###### 1.3: Operations on Two Sets (Practice Test)

- Union of Two Sets
- Problem 1: Union of Two Sets
- Intersection of Set
- Problem 1: Intersection of Set
- Difference of Sets
- Problem 1: Difference of Sets
- Symmetric Difference of two sets
- Problem 1: Symmetric Difference of two sets
- Universal Set
- Complement of a Set
- Problem 1: Complement of a Set

###### 1.4: Operations of Union and Intersection on Three Sets

###### 1.5: Properties of Union and Intersection for Two or Three Sets (Practice Test)

- Commutative Property of Union
- Associative Property of Union of Sets
- Problem 1: Associative Property of Union of Sets
- Associative Property of Intersection of Sets
- Problem 1: Associative Property of Intersection of Sets
- Distributive Property of Union Over Intersection
- Problem 1: Distributive Property of Union Over Intersection
- Distributive property of Intersection over Union
- Problem 1: Distributive property of Intersection over Union

###### 1.6: De Morgans Laws (Practice Test)

###### 1.7: Venn Diagrams (Practice Test)

- Introduction to Venn Diagrams
- Problem 1: Introduction to Venn Diagrams
- Commutative Law of Union of Sets
- Problem 1: Commutative Law of Union of Sets
- Commutative Law of Intersection of Sets
- Problem 1: Commutative Law of Intersection of Sets
- Intersection Associativity for Overlapping Sets
- Problem 1: Intersection Associativity for Overlapping Sets
- Intersection Associativity for Disjoint Sets
- Problem 1: Intersection Associativity for Disjoint Sets
- Intersection Associativity for Sets
- Problem 1: Intersection Associativity for Sets
- More on Intersection Associativity for Sets
- Problem 1: More on Intersection Associativity for Sets
- Union Associativity for Overlapping Sets
- Problem 1: Union Associativity for Overlapping Sets
- Union Associativity for Disjoint Sets
- Problem 1: Union Associativity for Disjoint Sets
- Union Associativity for Sets
- Problem 1: Union Associativity for Sets
- More on Union Associativity for Set
- Problem 1: More on Union Associativity for Set
- Distributivity of Union Over Intersection of Sets
- Problem 1: Distributivity of Union Over Intersection of Sets
- Distributivity of Intersection Over Union of Sets
- Problem 1: Distributivity of Intersection Over Union of Sets
- Difference of Sets for Overlapping Sets
- Problem 1: Difference of Sets for Overlapping Sets
- Difference of Sets for Disjoint Sets
- Problem 1: Difference of Sets for Disjoint Sets
- Difference of Sets for a Set & its Subset
- Problem 1: Difference of Sets for a Set & its Subset
- Complement of Union for Overlapping Sets
- Problem 1: Complement of Union for Overlapping Sets
- Complement of Intersection for Overlapping Sets
- Problem 1: Complement of Intersection for Overlapping Sets
- Complement of Intersection for Disjoint Sets
- Problem 1: Complement of Intersection for Disjoint Sets
- Complement of Union for Disjoint Sets
- Problem 1: Complement of Union for Disjoint Sets
- Complement of Union for Set & its Subset
- Problem 1: Complement of Union for Set & its Subset
- Complement of Intersection for Set & its Subset
- Problem 1: Complement of Intersection for Set & its Subset

###### 1.8: Ordered Pairs

###### 1.9: Cartesian Product of Sets

###### 1.10: Binary Relation (Practice Test)

- Introduction to Binary Relation
- Problem 1: Introduction to Binary Relation
- Domain & Range of Binary Relation
- Problem 1: Domain & Range of Binary Relation

###### 1.11: Functions (Practice Test)

- Introduction to Function
- Problem 1: Introduction to Function
- Onto Function
- Problem 1: Onto Function
- One to One Function
- Problem 1: One to One Function
- Bijective Function
- Problem 1: Bijective Function

###### 1.12: Cartesian Coordinate System for Plane

- Cartesian Coordinate System & Cartesian Plane
- Problem 1: Cartesian Coordinate System & Cartesian Plane

###### 1.13: Graphical Representation of Cartesian Product

##### Chapter 2: System of Real Numbers, Exponents and Radicals (70 videos) (Practice Test)

###### 2.1: Properties of Rational Numbers

###### 2.2: Decimal Fractions as Rational and Irrational Numbers (Practice Test)

- Decimal Representation of Rational Number
- Problem 1: Decimal Representation of Rational Number
- Decimal Representation of Irrational Number

###### 2.3: Set of Real Numbers

###### 2.4: Properties of Real Numbers (Practice Test)

- Closure Law of Rational Numbers
- Problem 1: Closure Law of Rational Numbers
- Commutative Law
- Associative Law
- Problem 1: Associative Law
- Additive Identity & Additive Inverse
- Problem 1: Additive Identity & Additive Inverse
- Multiplicative Identity & Inverse
- Problem 1: Multiplicative Identity & Inverse
- Distributive Law
- Problem 1: Distributive Law
- Trichotomy Property of Inequality
- Problem 1: Trichotomy Property of Inequality

###### 2.5: Properties of Equality of Real Numbers (Practice Test)

- Reflexive And Symmetric Property of Equality
- Transitive Property of Equality
- Problem 1: Transitive Property of Equality
- Additive Property of Equality
- Multiplicative Property of Equality
- Cancellation Property of Equality
- Problem 1: Cancellation Property of Equality

###### 2.6: Properties of Inequality of Real Numbers (Practice Test)

- Archimedian Property of Inequality
- Transitive Property of Inequality
- Problem 1: Transitive Property of Inequality
- Additive Property of Inequality
- Multiplicative Property of Inequality
- Problem 1: Multiplicative Property of Inequality

###### 2.7: Exponent

###### 2.8: Laws of Exponents (Practice Test)

- Law of Sum of Power of Exponents
- Problem 1: Law of Sum of Power of Exponents
- Law of Power of Product of Exponent
- Problem 1: Law of Power of Product of Exponent
- Law of Power of Power of Exponent
- Problem 1: Law of Power of Power of Exponent
- Law of Quotient of Power with Same Base
- Problem 1: Law of Quotient of Power with Same Base
- Law of Power of a Fraction
- Problem 1: Law of Power of a Fraction

###### 2.9: Radicals and Square Root of Positive Real Number (Practice Test)

- Introduction to Radical
- Square Root
- Problem 1: Square Root
- Properties of Square Root
- Problem 1: Properties of Square Root
- More on Properties of Square Root

###### 2.10: The nth Root of a Positive Real Number (Practice Test)

- qth Root of x
- Problem 1: qth Root of x
- Properties of qth Root of x
- Problem 1: Properties of qth Root of x

###### 2.11: Rational Exponents (Practice Test)

- Rational Exponents
- Problem 1: Rational Exponents
- Properties of Rational Exponents
- Problem 1: Properties of Rational Exponents

###### 2.12: Surds (Practice Test)

- Introduction to Surds
- Problem 1: Introduction to Surds
- Addition & Subtraction of Surds
- Problem 1: Addition & Subtraction of Surds
- Problem 2: Addition & Subtraction of Surds
- Multiplication & Division of Surds
- Problem 1: Multiplication & Division of Surds
- Problem 2: Multiplication & Division of Surds
- Introduction to Rationalization
- Rationalizing Denominator & its Types
- Problem 1: Rationalizing Denominator & its Types
- Problem 2: Rationalizing Denominator & its Types

##### Chapter 3: Logarithms (37 videos) (Practice Test)

###### 3.1: Introduction

###### 3.2: Secintific Notation (Practice Test)

- Introduction to Scientific Notation
- Problem 1: Introduction to Scientific Notation
- Adding & Subtracting Scientific Notation
- Problem 1: Adding & Subtracting Scientific Notation
- Multiplication of Numbers in Scientific Notation
- Problem 1: Multiplication of Numbers in Scientific Notation
- Division of Numbers in Scientific Notation
- Problem 1: Division of Numbers in Scientific Notation
- Converting Scientific to Common form
- Problem 1: Converting Scientific to Common form

###### 3.3: Definition of Logarithm (Practice Test)

- Logarithm Definition
- Problem 1: Logarithm Definition
- Converting Log to Exponential Form
- Problem 1: Converting Log to Exponential Form
- Converting Exponential to Log Form
- Problem 1: Converting Exponential to Log Form

###### 3.4: Laws of Logarithm (Practice Test)

- Product Law of Logarithm
- Problem 1: Product Law of Logarithm
- Power Law of Logarithm
- Problem 1: Power Law of Logarithm
- Quotient Law of Logarithm
- Problem 1: Quotient Law of Logarithm

###### 3.5: Change of Base in Logarithms

###### 3.6: Common Logarithms (Practice Test)

- Common Logarithm
- Problem 1: Common Logarithm
- Characteristic & Mantissa of Logarithm
- Problem 1: Characteristic & Mantissa of Logarithm

###### 3.7: Antilogarithms

###### 3.8: Applications of Logarithms in Computation

- Applications of Logarithm Laws in Calculations
- Problem 1: Applications of Logarithm Laws in Calculations
- Problem 2: Applications of Logarithm Laws in Calculations
- Problem 3: Applications of Logarithm Laws in Calculations
- Problem 4: Applications of Logarithm Laws in Calculations

##### Chapter 4: Algebraic Expression (39 videos) (Practice Test)

###### 4.1: Varibales and Constants

###### 4.2: Coefficient

###### 4.3: Algebraic Expressions

###### 4.4: Kinds of Algebraic Expressions (Practice Test)

- Introduction to Polynomials
- Problem 1: Introduction to Polynomials
- Rational & Irrational Expressions

###### 4.5: Classification of Polynomials

###### 4.6: Order of Algebraic Expressions

###### 4.7: Value of Algebraic Expression

- Value of an Algebraic Expression
- Problem 1: Value of an Algebraic Expression
- Problem 2: Value of an Algebraic Expression

###### 4.8: Fundamental Operations on Algebraic Expressions (Practice Test)

- Addition of Algebraic Expression
- Problem 1: Addition of Algebraic Expression
- Equality Property of Rational Expression
- Product of Algebraic Expression
- Problem 1: Product of Algebraic Expression
- Division of Algebraic Expression
- Problem 1: Division of Algebraic Expression

###### 4.9: Remainder Theorem

###### 4.10: Formula and their Applications (Practice Test)

- Square of Sum of Two Terms
- Problem 1: Square of Sum of Two Terms
- Square of Difference of Two Terms
- Difference of Square of Two Terms
- Square of Sum of Three Terms
- Problem 1: Square of Sum of Three Terms
- Cube of Sum of Two Terms
- Problem 1: Cube of Sum of Two Terms
- Cube of Difference of Two Terms
- Problem 1: Cube of Difference of Two Terms
- Sum & Differences of Cube
- Problem 1: Sum & Differences of Cube
- Twice the Sum of Square of Two Terms
- Problem 1: Twice the Sum of Square of Two Termss
- Four Times Product of Two Terms
- Problem 1: Four Times Product of Two Terms

##### Chapter 5: Factorization, H.C.F, L.C.M, Simplification and Square Root (49 videos) (Practice Test)

###### 5.1: Revision (Practice Test)

- Factoring Trinomial & Tetranomial of Degree One
- Problem 1: Factoring Trinomial & Tetranomial of Degree One
- Problem 2: Factoring Trinomial & Tetranomial of Degree One
- Factoring Square of Sum Or Difference of Two Terms
- Problem 1: Factoring Square of Sum Or Difference of Two Terms

###### 5.2: Factors of Expressions Reducible to Difference of Square of Two Terms (Practice Test)

- Factoring Difference of Square of Two Terms
- Problem 1: Factoring Difference of Square of Two Terms
- Problem 2: Factoring Difference of Square of Two Terms
- Factoring Polynomial of Degree Four
- Problem 1: Factoring Polynomial of Degree Four
- Problem 2 : Factoring Polynomial of Degree Four

###### 5.3: Factors of the Quadratic Polynomial (Practice Test)

- Factoring Quadratic Equation-Leading Coefficient-1
- Problem 1: Factoring Quadratic Equation-Leading Coefficient-1
- Factoring Quadratic Polynomial-Non-1 Leading Coefficient
- Problem 1: Factoring Quadratic Polynomial-Non-1 Leading Coefficient
- Problem 2: Factoring Quadratic Polynomial-Non-1 Leading Coefficient

###### 5.4: Factoring Sum or Difference of Cube of Two Terms

- Factoring Sum or Difference of Cube of Two Terms
- Problem 1: Factoring Sum or Difference of Cube of Two Terms
- Problem 2: Factoring Sum or Difference of Cube of Two Terms

###### 5.5: Factoring Sum of Cube of Three Terms Difference Three Times their Combined Produ

- Factoring sum of cube of three temrs
- Problem 1: Factoring sum of cube of three terms
- Problem 2: Factoring sum of cube of three terms

###### 5.6: Factoring Product of Difference of Two of All Three Terms

- Factoring product of difference of two of all three terms
- Problem 1: Factoring product of difference of two of all three terms

###### 5.7: Factorization by Using Remainder theorem

###### 5.8: Highest Common Factor (Practice Test)

- H.C.F or G.C.D of Algebraic Expressions
- Problem 1: H.C.F or G.C.D of Algebraic Expressions
- Problem 2: H.C.F or G.C.D of Algebraic Expressions
- H.C.F of Algebraic Expression by Division
- Problem 1: H.C.F of Algebraic Expression by Division

###### 5.9: Least Common Multiple of Polynomials

- L.C.M of Algebraic Expression by Factorization
- Problem 1: L.C.M of Algebraic Expression by Factorization
- Problem 2: L.C.M of Algebraic Expression by Factorization
- Problem 3: L.C.M of Algebraic Expression by Factorization
- L.C.M of Algebraic Expression by formula

###### 5.10: Simplification of Algebraic Fractions (Practice Test)

- Adding and Subtracting Algebraic Expressions
- Dividing & Multiplying Algebraic Expressions
- Problem 1: Dividing & Multiplying Algebraic Expressions
- Problem 2: Dividing & Multiplying Algebraic Expressions

###### 5.11: Simplification of Algebraic Fractions Involving Four Fundamental Operations Toge

###### 5.12: The Square Root of an Algebraic Expression (Practice Test)

- Square Root of Algebraic Expression-Factorization
- Problem 1: Square Root of Algebraic Expression-Factorization
- Problem 2: Square Root of Algebraic Expression-Factorization
- Square Root of Algebraic Expression-Division
- Problem 1: Square Root of Algebraic Expression-Division
- Problem 2: Square Root of Algebraic Expression-Division
- Square Root of Rational Expression
- Problem 1: Square Root of Rational Expression

##### Chapter 6: Algebraic Sentences (28 videos) (Practice Test)

###### 6.1: Solution of Simple Linear Equations in One or Two Variables (Practice Test)

- Solution of Simple Linear Equations in one Variables
- Problem 1: Solution of Simple Linear Equations in one Variables
- Solving Simultaneous Linear Equations by Substitution
- Problem 1: Solving Simultaneous Linear Equations by Substitution

###### 6.2: Graphical Solution of Two Simultaneous Linear Equations

###### 6.3: Solution of Equations Involving Radicals in One Variable

- Solving Radical Equations in One Variable
- Problem 1: Solving Radical Equations in One Variable
- Problem 1: Solving Radical Equations in One Variable

###### 6.4: Solution of Equations in One Variable Involving Absolute Value (Practice Test)

- Introduction to absolute value equation
- Problem 1: Introduction to absolute value equation
- Solving Absolute Valued Equations “
- Problem 1: Solving Absolute Valued Equations

###### 6.5: Inequalities or Inequations (Practice Test)

- Solution of Inequalities
- Problem 1: Solution of Inequalities
- Representing Solution of Inequalities on Number Line
- Problem 1: Representing Solution of Inequalities on Number Line

###### 6.6: Quadratic Equations in One Variable

###### 6.7: Solution of Quadratic Equations by Factorization

- Solving Quadratic Equations by Factorization
- Problem 1: Solving Quadratic Equations by Factorization

###### 6.8: Solution of Quadratic Equations by Completing Squares

- Solving Quadratic Equations by Completing the Squares
- Problem 1: Solving Quadratic Equations by Completing the Squares
- Problem 2: Solving Quadratic Equations by Completing the Squares

###### 6.9: Derivation of Quadratic Formula

###### 6.10: Solution of Quadratic Equations by Quadratic Formula

- Solving Quadratic Equation by Quadratic formula
- Problem1-Solving Quadratic Equation-Quadratic Formula
- Problem 2: Solving Quadratic Equation by Quadratic formula

##### Chapter 7: Matrices (63 videos) (Practice Test)

###### 7.1: Introduction

###### 7.2: Notation

###### 7.3: Order of Matrix

###### 7.4: Location of Elements or Entries

###### 7.5: Types of Matrices (Practice Test)

- Row Matrix and Column Matrix
- Problem1-Singular and Non-Singular Matrix
- Problem 1: Row Matrix and Column Matrix
- Square Matrix and Rectangular Matrix
- Problem2-Singular and Non-Singular Matrix
- Problem 1: Square Matrix and Rectangular Matrix
- Null Matrix or Zero Matrix
- Problem 1: Null Matrix or Zero Matrix
- Negative of Matrix
- Problem 1: Negative of Matrix
- Diagonal Matrix
- Problem 1: Diagonal Matrix
- Scalar Matrix
- Problem 1: Scalar Matrix
- Identity Matrix
- Problem 1: Identity Matrix

###### 7.6: Transpose of Matrix

###### 7.7: Equality of Matrices

###### 7.8: Addition of Matrices

###### 7.9: Additive Identity

###### 7.10: Additive Inverse of A Matrix

###### 7.11: Commutative Property w.r.t Addition

###### 7.12: Associative Property w.r.t Addition

- Associaitve Law under Addition for Matrices
- Problem 1: Multiplication of Matrices
- Problem 1: Associaitve Law under Addition for Matrices
- Problem 2: Multiplication of Matrices

###### 7.13: Subtraction of Matrices

###### 7.14: Multiplication of Matrix by Real Number

###### 7.15: Matrix Multiplication

- Multiplication of Matrices
- Problem 1: Multiplication of Matrices
- Problem 2: Multiplication of Matrices

###### 7.16: Properties of Multiplication of Matrices (Practice Test)

- Associative law under Multiplication of matrices
- Problem 1: Associative law under Multiplication of matrices
- Distributive Law of Multiplication over Addition for Matrices
- Problem 1: Distributive Law of Multiplication over Addition for Matri

###### 7.17: Identity Matrix w.r.t Multiplication

###### 7.18: Determinant of Matrix

###### 7.19: Singular & Non-Singular Matrices

###### 7.20: Adjoint of Matrix

###### 7.21: Multiplicative Inverse of Matrix

###### 7.22: Solution of Two Simultaneous Linear Equations Using Matrices

###### 7.23: Cramers Rule

##### Chapter 8: Elimination (8 videos) (Practice Test)

###### 8.1: Concept of Elimination

###### 8.2: Elimination by Substitution Method

###### 8.3: Elimination by Comparison Method

###### 8.4: Elimination by Application of Formulae

###### 8.5: Method of Cross-Multiplication

##### Chapter 9: Variations (38 videos) (Practice Test)

###### 9.1: Ratio

###### 9.2: Proportion

###### 9.3: Continued Proportion

###### 9.4: Variation (Practice Test)

- Direct Variations
- Problem 1: Direct Variations
- Problem 2: Direct Variations
- Inverse Variations
- Problem 1: Inverse Variations
- Problem 2: Inverse Variations
- Problem 3: Inverse Variations

###### 9.5: K-Method And theorems on Proportion

- K-Method and Theorem 1 on Proportion
- Problem 1: K-Method and Theorem 1 on Proportion
- K-Method and Theorem 2 on Proportion

###### 9.6: Properties of Proportion (Practice Test)

- Law of Proportion
- Problem 1: Law of Proportion
- Duplicate Ratio
- Problem 1: Duplicate Ratio
- Invertendo Theorem
- Problem 1: Invertendo Theorem
- Alternando Theorem
- Problem 1: Alternando Theorem
- Componendo Theorem
- Problem 1: Componendo Theorem
- Dividendo Theorem
- Problem 1: Dividendo Theorem
- Componendo-Dividendo Theorem
- Transitive Property of Ratio
- Problem 1: Transitive Property of Ratio

###### 9.7: Word Problems (Practice Test)

- Word Problem of Ratio of Shadow & Height
- Problem 1: Word Problem of Ratio of Shadow & Height
- Word problem of Ratio between Two Numbers
- Problem 1: Word problem of Ratio between Two Numbers
- Word problem of Ratio of Sides of Polygons
- Problem 1: Word problem of Ratio of Sides of Polygons
- Word problem of Ratio of angles of Polygons
- Problem 1: Word problem of Ratio of angles of Polygons
- Word problem of Ratio of Income & Expenses

##### Chapter 10: Information Handling (114 videos) (Practice Test)

###### 10.1: Introduction

###### 10.2: A Few Definitions (Practice Test)

- Data, Collection of Data, Presentation of Data
- Problem 1: Data, Collection of Data, Presentation of Data
- Constant & Variable.
- Problem 1: Constant & Variable.
- Population
- Problem 1:Population

###### 10.3: Types of Variables

###### 10.4: Types of Data

###### 10.5: Collection of Data

- Data, Collection of Data, Presentation of Data
- Problem 1: Data, Collection of Data, Presentation of Data

###### 10.6: Presentation of Data Or Information

- Data, Collection of Data, Presentation of Data
- Problem 1: Data, Collection of Data, Presentation of Data

###### 10.7: Classification

###### 10.8: A Few Definitions (Practice Test)

- Ungrouped & Grouped Data
- Problem 1: Ungrouped & Grouped Data
- Classification & No. of Classes
- Problem 1: Classification & No. of Classes
- Specification of Classes
- Problem 1: Specification of Classes
- Class interval & Class Limits
- Problem 1: Class interval & Class Limits
- Class Mark & Class Boundaries.
- Problem 1: Class Mark & Class Boundaries.

###### 10.9: Tabulation (Practice Test)

###### 10.10: Frequency Distribution (Practice Test)

###### 10.11: Construction of Frequency Distribution (Practice Test)

- Formation of Frequency Distribution byTally Bar Method
- Problem 1: Formation of Frequency Distribution by Tally Bar Method
- Formation of Frequency Distribution by Direct Method
- Problem 1: Formation of Frequency Distribution by Direct Method

###### 10.12: Graphs

- Advantages and Disadvantages of Graphs
- Problem 1: Advantages and Disadvantages of Graphs
- Construction of Graphs
- Problem 1: Construction of Graphs

###### 10.13: Histogram (Practice Test)

###### 10.14: Frequency Polygon

###### 10.15: Diagrams Representation (Practice Test)

- Simple Bar Diagram
- Problem 1: Simple Bar Diagram
- Multiple Bar Diagram
- Problem 1: Multiple Bar Diagram
- Pie Diagram
- Problem 1: Pie Diagram

###### 10.16: Measures of Location ( Central Tendency ) (Practice Test)

- Measure of Location
- Problem 1: Measure of Location
- Importance of Measure of Central Tendency
- Problem 1: Importance of Measure of Central Tendency

###### 10.17: Types of Measures of Central Tendency

###### 10.18: Arithmetic Mean ( A.M ) (Practice Test)

- Arithmetic Mean (A.M) for Ungrouped Data
- Problem 1: A.M of Ungrouped Data by Direct Method
- Arithmetic Mean (A.M) for Grouped Data by Direct Method
- Problem 1: A.M for Grouped Data by Direct Method
- Short formula for Computing Arithmetic Mean for Ungrouped Data
- Problem 1: A.M for Ungrouped Data by Short formula Method
- Short formula for Computing Arithmetic Mean for Grouped Data
- Problem 1: A.M for Grouped Data by Short formula Method
- Coding Method of Finding Arithmetic Mean
- Problem 1: A.M for Ungrouped Data by Coding Method
- Finding A.M for Grouped Data-Coding Method
- Problem 1: A.M for Grouped Data by Coding Method

###### 10.19: Median (Practice Test)

- Median for Ungrouped Data
- Problem 1: Median for Ungrouped Data
- Median for Grouped Continuous Data
- Problem 1: Median for Grouped Continuous Data

###### 10.20: Mode (Practice Test)

- Mode for Ungrouped Discrete Data
- Problem 1: Mode for Ungrouped Discrete Data
- Mode for Grouped Data
- Problem 1: Mode for Grouped Data

###### 10.21: Merits And Demerits of Measures of Central Tendency (Practice Test)

- Properties of Arithmetic Mean
- Problem 1: Properties of Arithmetic Mean
- Merits and Demerits of Median
- Problem 1: Merits and Demerits of Median
- Merits and Demerits of Mode
- Problem 1: Merits and Demerits of Mode

###### 10.22: Concept of Dispersion

###### 10.23: Importance & Uses of Measures of Dispersion

###### 10.24: Types of Measures of Dispersion (Practice Test)

- Calculation of Range for Raw or Ungrouped Data
- Problem 1: Calculation of Range for Raw or Ungrouped Data
- Calculation of Range for Grouped Data
- Problem 1: Calculation of Range for Grouped Data
- Uses and Properties of Range
- Problem 1: Uses and Properties of Range
- Limitations or Drawbacks of Range
- Problem 1: Limitations or Drawbacks of Range

###### 10.25: The Variance (Practice Test)

- Calculation of Variance by Proper Mean Formula
- Calculation of Variance of Grouped Data by Proper Mean Formula
- Calculation of Variance by Short Cut Method
- Problem 1: Calculation of Variance by Short Cut Method
- Calculation of the Variance and Standard Deviation by Direct Method
- Problem 1: Calculation of Variance by Direct Method

###### 10.26: Standard Deviation ( S.D ) (Practice Test)

- Calculation of Standard Deviation by Proper Mean Formula
- Problem 1: Calculation of S.D by Proper Mean formula
- Calculation of S.D by Short Cut Method
- Problem 1: Calculation of S.D by Short Cut Method
- Calculation of S.D by Direct Method
- Problem 1: Calculation of S.D by Direct Method
- Uses and Properties of Standard Deviation
- Problem 1: Uses and Properties of Standard Deviation
- Limitations of Variance and Standard Deviation
- Problem 1: Limitations of Variance and Standard Deviation
- Criteria for the measurement of spread of Observation
- Problem 1: Criteria for the measurement of spread of Observation

##### Chapter 11: Fundamental Concepts of Geometry (29 videos) (Practice Test)

###### 11.1: Inductive & Deductive Reasoning

###### 11.2: Characteristics of Deductive Method

###### 11.3: Basic Concepts (Practice Test)

- Introduction to Point, Line, Line-segment and Ray
- Problem 1: Introduction to Point, Line, Line-segment and Ray
- Collinear and Non-collinear Points
- Problem 1: Collinear points and Non-collinear points
- Between and Beyond the line segment
- Problem 1: Between and Beyond the line segment
- Line segment ray and half line
- Problem 1: Line segment ray and half line
- Convex Set
- Problem 1: Convex Set
- Opposite Rays
- Problem 1: Opposite Rays
- Interior and exterioir of an angle
- Anlge Construction Postulate
- Problem 1: Anlge Construction Postulate
- Adjacent Angles
- Problem 1: Adjacent Angles
- Side & Angle Bisector
- Problem 1: Side and Angle Bisector
- Complementary and Supplementary angles
- Problem 1: Complementary and supplementary anlges
- Acute, Obtuse and Congruent Angles
- Problem 1: Acute, Obtuse and Congruent Angles
- Vertically Opposite Angles
- Problem 1: Vertically Opposite Angles
- Right Angle and Perpendicular

##### Chapter 12: Demonstrative Geometry (74 videos) (Practice Test)

###### 12.1: Theorems on Lines & Polygons (Practice Test)

- Introduction to Geometrical Theorems
- Elements in proving a geometrical theorem
- Problem 1: Elements in proving a geometrical theorem

###### 12.2: Methods of Proof (Practice Test)

- Problem 1: Analytical and Synthesis method to Prove theorem
- Reductio-Ad-Absurdum Method
- Problem 1: Reductio-Ad-Absurdum Method
- If two lines intersect each other,than vertical angles are congruent

###### 12.3: Triangle (Practice Test)

- Interior and exterior of triangle
- Problem 1: Interior and exterior of triangle
- Triangluar Region and Triangular Area
- Interior and exterior angles of traingle
- Included Angle and Included Side of Triangle

###### 12.4: Kinds of Triangle

###### 12.5: One-One Correspondence between Two Triangles & Other Polygons

###### 12.6: Congruence of Triangles

###### 12.7: Congruence of Other Polygons

###### 12.8: Postulate 14- Side Angle Side Postulate (Practice Test)

- Side Angle Side Postulate
- Problem 1: side angle side postulate
- An exterior angle of a traingle is greater in measure than either of
- Problem 1:An exterior angle of a traingle is greater in measure than

###### 12.9: Transversal, Interior & Exterior Angles

###### 12.10: Alternate & Corresponding Angles

###### 12.11: Corresponding Angles

###### 12.12: Parallel Lines

###### 12.13: Postulate 15. Parallel Lines Postulate (Practice Test)

- Parallel Lines Postulate
- Problem 1: Parallel Lines Postulate
- If a transversal intersects two coplanar lines
- If a transversal intersects two parallel lines
- Problem 1: If a transversal intersects two parallel lines

###### 12.14: Parallelogram

###### 12.15: Trapezoid & Trapezium (Practice Test)

- Trapezoid and Trapezium
- Problem 1: Trapezoid and Trapezium
- Sum of three angles of triangle is 180 degree
- Problem 1: Sum of three angles of triangle is 180 degree
- Angle opposite to equal sides are equal in triangle
- Angle-Side-Angle Postulate-1
- Side-Side-Side Postulate-3
- Sides Facing Equal Angles are Equal in Triangle-2
- Hypotenuse Side Postulate-4
- Diagonals of Parallelogram Bisects Each Other-1
- Parallelogram Opposite Sides – Congruent -Parallel-2
- Mid point Theorem-3
- All Medians of Triangle Trisect Each Other-4
- Proportional Segment Theorem-5
- Perpendicular Bisector Theorem-1
- Converse of Perpendicular Bisector Theorem-2
- Triangle Right Bisectors of Sides are Concurrent-3
- Angle Bisector Theorem-4
- Converse of Angle Bisector Theorem-5

###### 12.16: Theorems on Inequalities (Practice Test)

- Longer Side Inequality Theorem-1
- Converse of Longer Side Inequality Theorem-1a
- Problem 1: Converse of Longer Side Inequality Theorem-1a
- Triangle Sum of Two Sides is Greater Than Third-2
- Problem 2: Triangle Sum of Two Sides is Greater Than Third-3
- Shortest Distance from Point to a Line-3
- Problem 2: Shortest Distance from Point to a Line-3

###### 12.17: Similar Figures (Practice Test)

- Proportional Parts of Triangle by Side Splitter Theo-1
- Converse of Proportional Parts of Triangle -2
- Division of Opposite Side by Angle Bisector-3
- Proportional Parts of Similar Triangle-4
- Converse of Proportional parts of similar triangle

###### 12.18: Pythagoras Theorem (Practice Test)

- Pythagoras Theorem-1
- Problem 1: Pythagoras Theorem-1
- Problem 2: Pythagoras Theorem-1
- Converse of Pythagoras Theorem-2
- Problem 1: Converse of Pythagoras Theorem-2

##### Chapter 13: Circle (49 videos) (Practice Test)

###### 13.1: Circle

- Introduction to Circle & its Characteristics
- Problem 1: Introduction to Circle & its Characteristics

###### 13.2: Circumference of a Circle

###### 13.3: Chord & Secant (Practice Test)

- Chord , Diameter & Circumference of a Circle
- Problem 1: Chord , Diameter & Circumference of a Circle
- Concept of Secant & Tangent Line
- Problem 1: Concept of Secant & Tangent Line

###### 13.4: Diameter of Circle

###### 13.5: Interior & Exterior of Circle

###### 13.6: Arc of a Circle

###### 13.7: Semi-Circle

###### 13.8: Minor Arc & Major Arc

###### 13.9: Central Angle of An Arc

###### 13.10: Congruent Circles

###### 13.11: Congruent Arcs

###### 13.12: Inscribed Angle of an Arc

###### 13.13: Tangent & Point of Tangency

###### 13.14: Common Tangents, Common Internal Tangents And Common External Tangents to Two Ci

- Concentric Circles and Common Internal and External Tangents to two C
- Problem 1: Concentric Circles,Common Internal & External Tangents of

###### 13.15: Sector of a Circle

###### 13.16: Segment of a Circle

###### 13.17: Circum Circle of a Triangle

###### 13.18: Inscribed Circle of a Triangle

###### 13.19: Escribed Circle of a Triangle

###### 13.20: Theorems on Circle (Practice Test)

- Perpendicular Radius Bisects Chord-3
- Perpendicular Bisector to a Chord Circle-2
- The perpendicular bisector of chord of circle passes through centre o
- Congruent Chords Equidistance from Circle-4
- Problem 2: Congruent Chords Equidistance from Circle-4
- Chords Equidistance of Circle are Congruent-5
- Problem 1: Chords Equidistance of Circle are Congruent-5
- Three Non-Collinear Points Form a Circle-1
- Problem 1: Three Non-Collinear Points Form a Circle-1
- Central angle theorem
- Problem 1: Central angle theorem
- Tangent to Circle-1
- Problem 1: Tangent to Circle-1
- Converse of Tangent to Circle-2
- Problem 1: Converse of Tangent to Circle-2
- Tangent and radial lines are perpendicular to each other
- Equal Tangent Segments from a Point to a Circle-3
- Distance of Centers of Externally Tangent Circles-4a
- Distance of Centers of internally Tangent Circles-4b

##### Chapter 14: Practical Geometry (23 videos) (Practice Test)

###### 14.1: Revision (Practice Test)

- Introduction to Practical Geometry
- Problem 1: Introduction to Practical Geometry
- Constructing Triangle with Three Sides
- Problem 1: Constructing Triangle with Three Sides
- Construction of a Triangle when one angle and two sides
- Constructing Triangle with Side & Two Angles
- Problem 1: Constructing Triangle with Side & Two Angles

###### 14.2: The Ambiguous Case

###### 14.3: Concurrent Lines with Reference to a Triangle (Practice Test)

- Constructing Angler Bisectors of Triangle
- Constructing Perpendicular Bisectors of Triangle
- Constructing Medians of Triangle
- Constructing Altitudes of Triangle

###### 14.4: To Draw the Circum-Circle of a Triangle

- Circumscribe a Circle About a Given Triangle
- Problem 1: Circumscribe a Circle About a Given Triangle

###### 14.5: To Draw Incircle of a Triangle

###### 14.6: To Draw Escribed Circle Opposite To a Vertex of a Triangle

###### 14.7: To Draw the Tangent to a Circle at a Given Point on the Circle

###### 14.8: To Draw Two Tangents to a Circle From a Point Outside the Circle

###### 14.9: To Draw the Direct Common Tangents to the Two Given Circles. (Practice Test)

- Direct Common Tangents to Circles
- Direct Common Tangents to circles by Method 2
- Direct Common Tangents of Circles with Same Radii

###### 14.10: To Draw the Transverse Common Tangents to the Two Given Circles.

##### Chapter 15: Trigonometry (36 videos) (Practice Test)

###### 15.1: Introduction

###### 15.2: Trigonometric Ratios of Acute Angles

###### 15.3: Values of Trigonometric Ratios of Angles of 45, 30 And 60 Degree. (Practice Test)

- Trigonometric ratios of 45 degree
- Problem 1: Trigonometric ratios of 45 degree
- Trigonometric ratios of 30 degree and 60 degree
- Problem 1: Trigonometric ratios of 30 degree and 60 degree
- Problem 2: Trigonometric ratios of 30 degree and 60 degree

###### 15.4: Relations Between Trigonometric Ratios of the Complementary Angles.

- Trigonometric Ratios of an Complementary Angles
- Problem 1: Trigonometric Ratios of an Complementary Angles

###### 15.5: Fundamental Trigonometric Identities (Practice Test)

- Proof of Fundamental Trigonometric Identity
- Problem 1: Proof of Fundamental Trigonometric Identity
- More on Fundamental Trigonometric Identity
- Problem 2: More on Fundamental Trigonometric Identity
- Problem 3: More on Fundamental Trigonometric Identity
- Problem 4: More on Fundamental Trigonometric Identity
- Problem 1: More on Fundamental Trigonometric Identity

###### 15.6: Solution of Right Triangle (Practice Test)

- When measures of one side and one angle are given
- Problem 1: When measures of one side and one angle are given
- when measures of hypotenuse and one Acute angle are given
- Problem 1: when measures of hypotenuse and one angle are given
- When measures of two sides are given
- Problem 1: When measures of two sides are given
- When measures of hypotenuse and one side are given
- Problem 1: When measures of hypotenuse and one side are given

###### 15.7: Finding Heights and Distances by Using Trigonometric Ratios (Practice Test)

- Concept of Angle of Elevation & Depression
- Problem 1: Concept of Angle of Elevation & Depression
- when one Side & Angle of Elevation are Given
- Problem 1: when one Side & Angle of Elevation are Given
- when One Side & Angle of Depression are Given
- Problem 1: when One Side & Angle of Depression are Given
- when Hypotenuse & Angle of Elevation are Given
- Problem 1: when Hypotenuse & Angle of Elevation are Given
- when Given Sides-Angle of Elevation-Depression
- Problem 1: when Given Sides-Angle of Elevation-Depression