mathematics

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

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

Mathematics 10 : Part II

Mathematics 10 : Part I

Mathematics Crash Course (Based on Revised Syllabus-2023)

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

Areas of Similar Triangles

Applications of Section Formula

Trigonometric Ratios of Complementary Angles

Number Patterns From Triangles to Squares

Applications of Euclid's Division Lemma

Euclid's Division Lemma

Example on Thales Theorem

Trigonometric Ratios for the Angle of 30 Degrees

Mean of Grouped Data: Example

Perimeter of Semicircle: Illustration

Illustration on Trigonometric Ratio for Given Ratio

Volume of Frustum of a Cone

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

Division of a Trinomial by a Trinomial

Dividing Polynomial by a Polynomial

Geometrical Meaning of the Zeroes of a Polynomial

Polynomial: Terms, Coefficient and Degree

Non-terminating Non-recurring Decimals

Surface Area and Volume of Right Triangular Pyramid

Introduction to Polynomials

Monomials, Binomials and Trinomials

Introduction to Quadrilaterals

HCF and LCM

Prime and Composite Numbers

Centroid - Meaning

Area of a Triangle (Coordinate Geometry)

Derivation of Distance Formula 2D

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Theorems of Probability

Complementary Events

Random Experiment & Theoretical Probability

Probability of Equally Likely Events

Introduction to Probability

Ogive Curve for Finding Median

Relationship Between Mean, Median and Mode

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

Conversion of Solids

Volume of Combination of Cylinder, Cone and Hemisphere

Volume of Ice Cream Cone

Volume of Combination of a Cylinder and Hemisphere

Volume of Combination of Hemisphere & Cone

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

Volume of Solids

Area of Combined Figures

Area of Minor and Major Segments

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

Problems on Annular Regions

Problems on Area of Circles

Definition of Pi (π)

Problems on Circumference of a Circle

Construction of Tangents From an Exterior Point

Construction of Similar Triangle in Given Ratio

Division of Line Segment in Given Ratio Externally

Division of Line Segment in Given Ratio Internally

Tangent to a Circle

Application of Trigonometry (Height of Tower)

Application of Trigonometry (Height of Windmill)

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 60°

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

Introduction to Trigonometry

Coordinates of the Incentre

Midpoint - Definition

This chapter covers the various fields where trigonometry is used. Trigonometry was used to calculate the height of Mount Everest and was also used by astronomers calculate the distance between planets.

Some Applications of Trigonometry

In this chapter, we will learn about different trigonometric ratios, trigonometric ratios of some specific angles, trigonometric ratios of complementary angles and trigonometric identities.

In this chapter, we will study various methods of representing the data in a frequency distribution table. It describes on interpreting the data given in this form. Moreover, we will learn to construct the histograms and graphs of the given data.

Statistics

The theories of probabilities are of great practical importance. In this chapter, we recollect the experimental probability learnt in previous class and learn about theoretical probability.

Probability

In this chapter, we will learn about similar figures, similarity of triangles, how to calculate the area of triangles, etc. We will also learn the Pythagoras theorem.

Triangles

This chapter discusses problems on finding surface areas and volumes of solids. We will also come across solids, which are a part of a cone known as frustums of a cone. Problems on surface areas and volumes of frustum are also provided.

Surface Areas and Volumes

In this chapter, we review the concepts of geometry and graphs of linear equations related to coordinate geometry. We learn the formula of distance between two points, collinear points, section formula, centroid and area of a triangle.

Coordinate Geometry

In this chapter, you will learn about constructions by using the knowledge attained while studying in earlier classes. Justification of using various concepts of geometry is also provided here.

Constructions

The chapter emphasizes the concept of the circle and its properties. It also demonstrates the distinct parts and methods of construction through activities and sample examples discussed here through diagrams.

Circles

This chapter discusses problems on finding areas of two special parts of a circular region: sectors and segments of a circle. It also discusses problems on finding areas of some combinations of plane figures involving circles or parts of circles.

Areas Related to Circles

This chapter briefly explains divisibility and some important properties related to real numbers: Euclid&#39;s division lemma and the fundamental theorem of arithmetic.

Real Numbers

In this chapter, you will study quadratic equation and the various ways of finding its roots. Applications of quadratic equations in daily life situations are also discussed.

Quadratic Equations

In this chapter, we will study about the geometrical representation of linear and quadratic polynomial. It also explains the geometrical meaning of their zeroes and the relationship between the zeroes and coefficients of a polynomial.

Polynomials

This chapter introduces the notion of system of simultaneous linear equations. Each of the pairs of linear equations in the chapter forms a system of two simultaneous linear equations in two variables.

Pair of Linear Equations in Two Variables

In this chapter, you will study patterns in which succeeding terms are obtained by adding a fixed number to the preceding terms. You will learn how to find the nth term and the sum of n consecutive terms using some daily life problems.

Arithmetic Progressions

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