Mathematics

Arithmetic

Algebra covers chapters such as Quadratic Equations, Polynomials, Arithmetic Progressions and, Pair of Linear Equations in Two Variables

Algebra

Geometry covers chapters such as Circles, Triangles, Coordinate Geometry, Constructions, Surface Areas and Volumes and, Areas Related to Circles

Geometry

Trigonometry covers chapters such as Introduction to Trigonometry and Some Applications of Trigonometry

Trigonometry

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

CBSE Syllabus Standard Mathematics for Class X

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS

Secondary School Mathematics for Class 10

MATHEMATICS CLASS X

Modern's abc+ of Mathematics for Class 10

DINESH LAB MANUAL IN MATHEMATICS CLASS X

New Mathematics for Class X

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS

MATHEMATICS Textbook for Class X

Example on Thales Theorem

Trigonometric Ratios for the Angle of 30 Degrees

Mean of Grouped Data: Example

Illustration on Trigonometric Ratio for Given Ratio

Tangents From an Exterior Point: Illustration

Tangent at a Point on Circle: Theorem

Tangent and Chord for Concentric Circles

Tangent as Perpendicular to Radius: Illustration

Tangent as Perpendicular to the Radius

Trigonometric Identities

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

Factorization Method

Factorisation Method

Geometrical Meaning of the Zeroes of a Polynomial

Polynomial: Terms, Coefficient and Degree

Non-terminating Non-recurring Decimals

Introduction to Polynomials

Monomials, Binomials and Trinomials

HCF and LCM

Number Type and Its Factors

Prime and Composite Numbers

Section Formula

Derivation of Distance Formula 2D

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Definition of Series, Sum & nᵗʰ Term

Equation Reducible to Quadratic Equation

Theorems of Probability

Random Experiment & Theoretical Probability

Probability of Equally Likely Events

Introduction to Probability

Median of Grouped Data: Illustration

Short-cut Method to Find Mean of Grouped Data

Direct Method for Finding Mean

Conversion of Cumulative into Ordinary Frequency

Cumulative Frequency Table by Less Than Method

Volume of Combination of Cylinder, Cone and Hemisphere

Volume of Combination of a Cylinder and Hemisphere

Volume of Combination of Hemisphere & Cone

Surface Area of Hollow Cylinders

Surface Area of Combination of Cone and Hemisphere

Surface Area of Combination of Cylinder and Cone

Surface Area of a Combination of Cylinder & Sphere

Surface Area of Combination of Solids

Problem on Area of Minor Segment

Problem on Area of Path Around a Circular Region

Areas of a Sector and a Segment of a Circle

Concept of Arc, Area and Perimeter of Sector

Tangent to a Circle

Application of Trigonometry (Height of Tower)

Illustration on Finding Height by Depression Angle

Illustration Based on Finding Height of Balloon

Illustration on Finding the Width of a River

Illustration Based on Finding Height of Tower

Illustration Based on Finding Angle of Elevation

Illustration Based on Angle and Height of Object

Introduction to Height & Distance

Illustration of Trigonometric Identity

Trigonometric Ratios for the Angle of 45°

Trigonometric Ratio Sine for the Angle of 30°

Trigonometric Ratios: Illustration 2

Inter Relation Between the Trigonometric Ratio

Defining Sine and Cosine Ratios and Their Range

Visualising Trigonometric Ratios for Same Angle

Visualising Trigonometric Ratios

Coordinates of the Incentre

Midpoint - Definition

Distance Between Two Points: Some Illustrations

History of Coordinate Geometry

Application of AA Criterion for Similarity

Similarity in Right Triangles

SSS Criterion for Similarity of Triangles

SAS Criterion for Similarity of Triangles

AA Criterion for Similarity of Two Triangles

Criteria for Similarity of Two Triangles

Illustration on Similarity of Triangles

Illustration Based on Thales Theorem

Application of Thales Theorem

Similarity of Triangles

Concept of Similarity

Sum of First n Terms of an Arithmetic Progression

Arithmetic Progression

Nature of the Roots of the Quadratic Equation

Quadratic Polynomial

Cross Multiplication Method: Illustration

Solving Linear Equations by Cross Multiplication

Solving Linear Equations Using Elimination Method

Solving Linear Equations Using Substitution Method

Graphical Method of Solution of Linear Equations

System of Three Linear Equations in Two Variables

Solution of Two Simultaneous Linear Equations

Degree of a Polynomial

Irrational Numbers

Introduction to Experimental Probability

Illustration of Mean of Ungrouped Data

This chapter covers the topic of Heights and Distances.

Some Applications of Trigonometry

This chapter covers topics such as Trigonometric Ratios of Complementary Angles, Trigonometric Identities, Trigonometric Ratios of Some Specific Angles, and Trigonometric Ratios.

Introduction to Trigonometry

This chapter covers topics such as Frequency Distribution Table, Mean of Grouped Data, Mode of Grouped Data, Median of Grouped Data, and Graphical Representation of Cumulative Frequency Distribution.

Statistics

This chapter covers the topic of Probability - A Theoretical Approach.

Probability

This chapter covers topics such as Surface Area of a Combination of Solids, Solid Shapes, Volume of a Combination of Solids, Conversion of Solid from One Shape to Another, Frustum of a Pyramid, and Frustum of a Cone.

Surface Areas and Volumes

This chapter covers topics such as Similar Figures, Similarity of Triangles, Criteria for Similarity of Triangles, Angle Bisector Theorem, Pythagoras Theorem, and Areas of Similar Triangles.

Triangles

This chapter covers topics such as Section Formula, Distance Formula, Quadrilaterals, and Area of a Triangle Formula.

Coordinate Geometry

This chapter covers topics such as Intersection between Circle and Line, Number of Tangents from a Point on a Circle and Tangent to a Circle.

Circles

This chapter covers topics such as Areas of Sector and Segment of a Circle, Perimeter and Area of a Circle, and Areas of Combinations of Plane Figures.

Areas Related to Circles

This chapter covers topics such as HCF and LCM, Irrational Numbers, The Fundamental Theorem of Arithmetic, Euclid's Division Lemma, and Rational Numbers and Their Decimal Expansions.

Real Numbers

This chapter covers topics such as Introduction to Quadratic Equations, Solution of a Quadratic Equation, and Nature of Roots.

Quadratic Equations

This chapter covers topics such as Relationship between Zeros and Coefficients of a Polynomial, Basics of Polynomials, Division Algorithm for Polynomials, and Geometrical Meaning of the Zeros of a Polynomial.

Polynomials

This chapter covers topics such as Introduction to Pair of Linear Equations in Two Variables, Algebraic Methods of Solving a Pair of Linear Equations, Equations Reducible to a Pair of Linear Equations in Two Variables, etc.

Pair of Linear Equations in Two Variables

This chapter covers topics such as nth Term of an AP, Introduction to Arithmetic Progressions, Sum of First n Terms of an AP, and Number Patterns.

Arithmetic Progressions

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