mathematics

This subject covers units such as trigonometry, geometry, algebra, arithmetic, statistics and probability and, statics and dynamics

Arithmetic contains chapter Number System

Arithmetic

Algebra covers chapters such as Matrices, Quadratic Equations, Polynomials, Binomial Theorem, Sequence and Series, Mathematical Induction, Pair of Linear Equations in Two Variables, Binary Operations and, Factorisation and Identities

Algebra

Geometry covers chapters such as Construction, Circles, Triangles, Mensuration and, Coordinate Geometry

Geometry

Trigonometry contains chapter Trigonometry

Trigonometry

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

Statics and Dynamics contains chapter Statics

Statics and Dynamics

Mathematics for Class 10

MATHEMATICS Textbook for Class X

Formation of Quadratic Equation

Sum and Product of the Roots of Quadratic Equation

Areas of Similar Triangles

Trigonometric Ratios of Complementary Angles

Applications of Euclid's Division Lemma

Euclid's Division Lemma

Binary Operations and Operation Tables

Example on Thales Theorem

Trigonometric Ratios for the Angle of 30 Degrees

Mean of Grouped Data: Example

n- Geometric Means Between Two Numbers

Factorisation by Algebraic Identities: Illustration 2

Factorisation by Algebraic Identities: Illustration 1

Factorisation Using Difference of Two Squares: Example

Special Types of Matrices

Finding N Arithmetic Means Between Two Numbers

Arithmetic Mean

Modulus Function

Tangents From an Exterior Point: Illustration

Tangent at a Point on Circle: Theorem

Tangent as Perpendicular to Radius: Illustration

Tangent as Perpendicular to the Radius

Nature of the Roots: Illustration

Nature of the Roots: Illustration 1

Solution of Quadratic Equation: (a – b)^2 Type

Solution of Quadratic Equation: (a + b)^2 Type

Perfect Square Method to Solve Quadratic Equation

Factorisation Method: Example

Factorisation Method

Division of a Trinomial by a Trinomial

Perfect Square Polynomial: Illustration 3

Perfect Square Polynomial: Illustration 2

Perfect Square Polynomial: Illustration 1

Perfect Square Polynomial

Application of the Remainder Theorem: Example 2

Application of the Remainder Theorem: Example 1

Factor Theorem: Illustration

Remainder Theorem and Factor Theorem

Forces and Motion

Forces Are Due to Interaction

HCF and LCM

Finding HCF Using Prime Factorisation Method

Introduction to Random Variable

Multiplication of a Matrix by a Scalar

Addition of Matrices

Types of Matrices

Matrices

Equilibrium of a Particle

Mutually Exclusive Events

Types of Events

Centroid - Meaning

Area of a Triangle (Coordinate Geometry)

Section Formula

Sum of First n Natural Numbers

Sigma Notation For Sum of a Constant Upto n Times

Arithmetic Mean & Geometric Mean: Illustration

Introduction to Geometric Mean

Sum of n Terms of a GP When nᵗʰ Term is Given

Sum of First n Terms of a G.P.

Sum of First n Terms of a Geometric Progression

Geometric Progression

Finding the nth Term of A.P. With Given Two Terms

Arithmetic Progression: Illustrations

Arithmetic Progression

Introduction to Bounded Sequence

Finding Terms of a Sequence

Definition of Sequence

Binomial Expansion: Illustration

Middle Term in Binomial Expansion: Illustration

Maximum Value of a Binomial Coefficient

Middle Term in Binomial Expansion

Relation Between Binomial Coefficients

Properties of Binomial Coefficients

Binomial Theorem

Binomial Theorem: Introduction

Equation Reducible to Quadratic Equation

Discriminant and Nature of Roots

Solution of Quadratic Equation

Principle of Mathematical Induction Illustration

Mathematical Induction: Illustration

Mathematical Induction - Example

Introduction to Mathematical Induction

Trigonometric Equation to Convert Cosine or Sine

General Solution of Equation Involving Tangent

General Solution of Equation Involving Sine

General Solution of Equation Involving Cosine

Formulae for Allied Angles

Modulus Function: Illustration

Theorems of Probability

Complementary Events

Random Experiment & Theoretical Probability

Probability of Equally Likely Events

Introduction to Probability

Ogive Curve for Finding Median

Median of Grouped Data: Illustration

Short-cut Method to Find Mean of Grouped Data

Direct Method for Finding Mean

Conversion of Solids

Volume of Combination of Cylinder, Cone and Hemisphere

Volume of Ice Cream Cone

This chapter covers topics, such as, Introduction to Statics, Equilibrium, Resultant and Component & Representation of Force etc.

Statics

This chapter covers topics, such as, Trigonometric Ratios, Heights and Distances, Trigonometric Ratios of Complementary Angles, Sign of Trigonometric Ratios, Trigonometric Equations & Trigonometric Ratios of Allied Angles etc.

This chapter covers topics, such as, Algebraic Identities, Factorisation of Cyclic Expressions & Factorisation of Algebraic Expression etc.

Factorisation and Identities

This chapter covers topics, such as, Symmetric and Skew-symmetric Matrices, Operations on Matrices, Basics of Matrices & Types of Matrices etc.

This chapter covers topics, such as, General Term and Middle Term, Applications of Binomial Theorem, Binomial Theorem for Positive Integral Index & Series involving Binomial Coefficients etc.

This chapter covers topics, such as, Principle of Mathematical Induction etc.

Mathematical Induction

This chapter covers topics, such as, Arithmetic Progression, Basics of Sequence and Series, Relation between A.M., G.M. and H.M., Geometric Progression, Arithmetic Mean, Miscellaneous Series, Geometric Mean, Harmonic Progression & Harmonic Mean etc.

Sequence and Series

This chapter covers topics, such as, Introduction to Binary Operations & Properties of Binary Operations etc.

Binary Operations

This chapter covers topics, such as, Classical Definition of Probability, Types of Events & Random Experiment etc.

Probability

This chapter covers topics, such as, Measures of Central Tendency, Graphical Representation of Frequency Distribution & Partition Values etc.

Statistics

This chapter covers topics, such as, Perimeter and Area of a Circle, Area of Combinations of Plane Figures, Area of Sector and Segment of a Circle, Conversion of Solid from One Shape to Another & Surface Area and Volume of Combination of Solids etc.

Mensuration

This chapter covers topics, such as, Area of Triangle Formula & Section Formula etc.

Coordinate Geometry

This chapter covers topics, such as, Construction of Tangents to a Circle, Division of a Line Segment & Construction of a Triangle etc.

Construction

This chapter covers topics, such as, Tangent to a Circle & Interaction between Circle and Line etc.

Circles

This chapter covers topics, such as, Area of Similar Triangles, Similar Figures, Criteria for Similarity of Triangles, Similarity of Triangles, Pythagoras Theorem & Internal and External Bisector of an Angle etc.

Triangles

This chapter covers topics, such as, Nature of Roots, Introduction to Quadratic Equations, Solution of a Quadratic Equation, Word Problems on Quadratic Equation, Formation of Quadratic Equation & Relationship between Zeros and Coefficients etc.

Quadratic Equations

This chapter covers topics, such as, Applications of Pair of Linear Equations, Pair of Linear Equations in Two Variables, Graphical Solution of a Pair of Linear Equations & Algebraic Solution of a Pair of Linear Equations etc.

Pair of Linear Equations in Two Variables

This chapter covers topics, such as, Remainder Theorem, Division Algorithm for Polynomials & Factor Theorem etc.

Polynomials

This chapter covers topics, such as, Euclid's Division Lemma, HCF and LCM, Properties of Real Number, The Fundamental Theorem of Arithmetic & Absolute Value etc.

Number System

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