# NCERT Solutions for Class 10 Maths

NCERT solutions for class 10 Maths are the most important solutions and most searched NCERT solutions. We, at Arinjay Academy have created easy to understand, and exam-oriented NCERT solutions for class 10. These solutions are created by rigorous research by our experienced and expert faculties of class 10 maths. These solutions are oriented towards class 10 CBSE board exams.

Download chapter wise detailed NCERT Solutions for Class 10 Maths / CBSE Class 10 Maths NCERT Solutions

### Chapter 1 – Real Numbers Class 10

In Chapter 1 of class X, students will explore two important theorems of positive integers, including Euclid’s division theorem and Fundamental Theorem of Arithmetic. You will learn the concept of rational and irrational numbers,  and LCM and HCF of positive integers.

There are 4 exercises in Chapter 1 – Real Numbers Class 10 – Exercise 1.1Exercise 1.2Exercise 1.3 and Exercise 1.4

Real Numbers Class 10 Maths Chapter 1 – Video Explanations

### Chapter 2 – Polynomials Class 10

In CBSE Class 10 Maths, Chapter 2 Polynomials, students will learn about the degree of Polynomials, linear polynomial, quadratic polynomial, cubic polynomial, the methods to find the number of zeroes by using graphs and  the relationship between the coefficient of Polynomials and zeroes.

There are 3 exercises in NCERT Solutions for Class 10 Maths Chapter 2 Polynomials – Exercise 2.1Exercise 2.2 and Exercise 2.3

Polynomials Class 10 Maths Chapter 2 – Video Explanations

### Chapter 3 – Pair of Linear Equations in two Variables Class 10

CBSE Class 10 Maths Chapter 3 explains the concept of Pair of Linear equations in two variables, in which you will learn various methods to solve the pair of linear equations, how to represent a situation graphically and algebraically and how to solve a pair of linear equations by the following methods : – Graphical method, Elimination method, Substitution method, Algebraic method, Cross multiplication method

There are 6 exercises in NCERT Solutions for Class 10 Maths Chapter 3 – Pair of Linear Equations in two Variables –  Exercise 3.1Exercise 3.2, Exercise 3.3, Exercise 3.4, Exercise 3.5 and Exercise 3.6

Pair of Linear equations in two variables Class 10 Maths Chapter 3 – Video Explanations

### Chapter 4 – Quadratic Equations – NCERT Solutions for Class 10 Maths

In class 10th Maths Chapter 4 quadratic equation, you will learn about the standard form of the quadratic equation, to solve the quadratic equation by using the factorisation method and completing the square method, how quadratic equations are related to day-to-day life situations and the nature of the roots of the quadratic equation.

There are 4 exercises in NCERT Solutions for Class 10 Maths Chapter 4 – Quadratic Equations – Exercise 4.1Exercise 4.2Exercise 4.3 and Exercise 4.4

Quadratic equations Class 10 Maths Chapter 4 – Video Explanations

### Chapter 5 – Arithmetic Progressions Class 10

Class 10 Chapter 5 Arithmetic progression consists of an introduction to arithmetic progressions. You will learn how to write any situation in the form of AP, how to find the first and last term of an AP, difference of an AP, to check whether a given series is an AP or not and how to find the nth term of an AP and sum of first b terms of an AP.

There are 3 exercises in NCERT Solutions for Class 10 Maths Chapter 5 – Arithmetic Progressions – Exercise 5.1, Exercise 5.2 and Exercise 5.3

Arithmetic Progression Class 10 Maths Chapter 5 – Video Explanations

### Chapter 6 – Triangles – NCERT Solutions for Class 10 Maths

NCERT Class 10 Maths Chapter 6 Triangles deals with the study of figures, which have the same shape but different size. The chapter initiates with the concept of congruent and similar triangles. It also tells about various conditions and theorems for the similarity of triangles. You will also come to know about the area of similar Triangles with the help of the theorem. Class 10 Maths Chapter 6 Triangles also tells about Pythagoras theorem and converse of it.

There are 3 exercises in NCERT Solutions for Class 10 Maths Chapter 6 – Triangles – Exercise 6.1, Exercise 6.2 and Exercise 6.3

### Chapter 7 – Coordinate Geometry Class 10

Class 10th Maths Chapter 7 deals with various concepts of coordinate geometry. Students will learn how to find the distance between two points whose coordinates are known. It also tells the method to find coordinates of the point that divides a given line into a particular ratio. Students will learn section formula, distance formula, and area of the triangle.

There are 3 exercises in NCERT Solutions for Class 10 Maths Chapter 7 – Coordinate Geometry – Exercise 7.1Exercise 7.2 and Exercise 7.3

### Chapter 8 – Introduction to Trignometry  – NCERT Solutions for Class 10 Maths

Chapter 8 Introduction to Trigonometry class 10 introduces students to the world of Trigonometry. Introduction to Trignometry Class 10 tells about the Trigonometric ratios of the angels, Trigonometric ratios of angles of 90 and 0 degrees. It also makes students learn how to build some Trigonometric identities and calculate trigonometric ratios.

There are 4 exercises in NCERT Solutions for Class 10 Maths Chapter 8 – Introduction to Trignometry – Exercise 8.1, Exercise 8.2Exercise 8.3 and Exercise 8.4

### Chapter 9 – Some Applications of Trignometry – NCERT Solutions for Class 10 Maths

Class 10th Maths Chapter 9 some applications of Trigonometry is the continuation of the previous chapter. In this chapter, students will come to know about various applications of Trigonometry. In this chapter, students will learn how to find the height and distance of objects by using Trigonometry. You will also learn how to find the exact position of Islands with respect to latitudes and longitudes. You learn various terminologies, including angles of elevation, line of sight, and angle of depression.

There is only 1 exercise in NCERT Solutions for Class 10 Maths Chapter 9 – Some Applications of Trignometry – Exercise 9.1

### Chapter 10 – Circles Class 10

In class 9th, you have already learned about the basics of the circle and various terms related to a circle, including arc, chord, segment, etc. In CBSE class 10 Maths Chapter 10 circles, you will learn about various conditions that take place when a circle and a line are introduced in the same plane. You will learn about the tangent of a circle and the number of tangents on a circle from a point.

There are 2 exercises in NCERT Solutions for Class 10 Maths Chapter 10 – Circles – Exercise 10.1 and Exercise 10.2

### Chapter 11 – Constructions Class 10

Maths Class 10 Chapter 11 construction is a continuation of what students have studied in class 9th. In this chapter, students will learn the method to divide a line segment. Students will also learn how to create a tangent to a circle.

There are 2 exercises in NCERT Solutions for Class 10 Maths Chapter 11 – Constructions – Exercise 11.1 and Exercise 11.2

### Chapter 12 – Area related to Circles Class 10

Class 10 Area related to circle chapter deals with the area and perimeter of the circle. The chapter also enables the students how to find the area of segment and sector of a circle. It also explains how to find areas of plane figures having circles are a segment of the circle.

There are 3 exercises in Chapter 12 – Area related to Circles consist of 3 Exercises – Exercise 12.1, Exercise 12.2 and Exercise 12.3

You can also download Maths Class 10 NCERT Book Pdf from official website.