# NCERT Solutions For Class 10 Maths Updated for 2021-22

NCERT Solutions for Class 10 Maths provided by Study Path cover all the questions of the NCERT textbook. These solutions are updated as per the latest CBSE guidelines. All the solutions we have given on this page are solved by our subject experts. These solutions help you to clear all your doubts. Further, they help you to solve each question of the NCERT maths book without any problem.

Here at Study Path, we provide all these solutions for free. You can also easily download the solutions in PDF format. With this solution in hand, students find it easy to solve any maths problems. Our NCERT solutions help you to build interest in maths. Download the NCERT Solutions for CBSE Class 10 Maths from links below.

## CBSE Class 10 Maths Solutions Chapter-wise

- Chapter 1 – Real Numbers
- Chapter 2 – Polynomials
- Chapter 3 – Pair of Linear Equations In Two Variables
- Chapter 4 – Quadratic Equations
- Chapter 5 – Arithmetic Progressions
- Chapter 6 – Triangles
- Chapter 7 – Coordinate Geometry
- Chapter 8 – Introduction To Trigonometry
- Chapter 9 – Some Applications of Trigonometry
- Chapter 10 – Circles
- Chapter 11 – Constructions
- Chapter 12 – Areas Related To Circle
- Chapter 13 – Surface Areas And Volumes
- Chapter 14 – Statistics
- Chapter 15 – Probability

### NCERT Solutions For Class 10 Maths Chapter-wise Discussion

#### Chapter 1 – Real Numbers

Chapter 1 of NCERT Class 10 Maths is, Real Numbers. In Class 9, you have learned the basics of real numbers. In Class 10 two new topics of Real Numbers are included. In section 1.2 and 1.3 two very important topics namely, Euclid’s division algorithm and the fundamental theorem of arithmetic are discussed. All these concepts are mainly used to find the HCF of two positive numbers. This chapter consists of four exercises. Study Path solved each question of these exercises step by step.

#### Chapter 2 – Polynomials

Chapter 2 of Class 10 Maths book discusses about Polynomials. In class 9, you have learned about polynomials in one variable and the degree of polynomials. In class 10 you will learn how to zeroes of the polynomials. Then, you have to find the relation between the zeroes of the polynomials and the constants of the polynomials. Further, you will learn how to divide polynomials. The chapter contains four exercises and Study Path solved each of the exercises beautifully.

#### Chapter 3 – Pair of Linear Equations in Two variables

This chapter extends all the concepts of linear equations that you have learned in class 9. Further, it includes some important methods to solve the linear equations. Some of the topics that have been covered in this chapter are a graphical representation of linear equations, Elimination method, Substitution method, Cross multiplication method, etc. This chapter contains seven exercises. The solutions for each of the exercises are given below.

#### Chapter 4 – Quadratic Equations

Chapter 1 of NCERT Class 10 Maths is, Real Numbers. In Class 9, you have learned the basics of real numbers. In Class 10 two new topics of Real Numbers are included. In section 1.2 and 1.3 two very important topics namely, Euclid’s division algorithm and the fundamental theorem of arithmetic are discussed. All This chapter discusses the quadratic equations and the methods to find their roots. In this chapter, you will learn how to find the roots of quadratic equations, the Nature of Roots, Solution of quadratic equation by Factorisation, etc. Quadratic equations help us to deal with real-life problems. This chapter has four exercises, and the solution for each exercise is given below.

#### Chapter 5 – Arithmetic Progressions

Arithmetic progression is a whole new concept for class 10 students. An arithmetic progression is a sequence of numbers in which each term is obtained by adding a fixed number to the preceding term. Arithmetic progression helps us to deal with real-life problems. This chapter has four exercises, and the solution for each exercise is given below.

#### Chapter 6 – Triangles

In the previous class, you have studied many properties of the triangle and about the congruency of triangles. In class 10, you will learn about more theorems and similarity of triangles. The chapter has six exercises and the solutions of each exercise are given below.

#### Chapter 7 – Coordinate Geometry

Previously you have studied how coordinate points locate the position of an object on a plane. In this chapter, you will learn how to find the distance between points whose coordinates are known. Further, you will learn how to calculate the area of a triangle formed by three given points. This is an important chapter whose concepts play a major role in higher studies.

#### Chapter 8 – Introduction to Trigonometry

Trigonometry is totally a new and important topic for class 10 students. In this chapter, you will learn how to calculate trigonometric ratios and establish trigonometric identities. The chapter has four exercises. You will get solutions for each exercise below.

#### Chapter 9 – Some Applications of Trigonometry

This is a very interesting chapter where you will know the applications of trigonometry. Here you will be learning how trigonometry helps us to solve real-life problems.

#### Chapter 10 – Circles

A Circle is a closed shape with an infinite number of points such that the distance between any two of the points through the center is equal. This chapter has 2 exercises whose solutions are given below.

#### Chapter 11 – Constructions

In class 9, you have learned how to construct different things using a ruler and a compass. In class 10 you will learn more construction using your previous knowledge. The has two exercises and their solutions are provided below.

#### Chapter 12 – Areas Relations to Circles

You may be familiar with the perimeter, sector, chord, diameter, and area of a circle. In this chapter, you come across many daily life problems related to circular figures and how to solve them. You will also see how to find the areas of some combinations of plane figures involving circles.

#### Chapter 13 – Surface Ares and Volumes

In our day-to-day life, we come across many solids made up of combinations of two or more of the basic solids. In this chapter, you will learn how to calculate surface areas and volumes of solids like a cone, cuboid, cube, cylinder sphere, etc. This chapter has five exercises and their solutions have been provided below.

#### Chapter 14 – Statistics

In Class 9, you have studied the classification of given data into ungrouped as well as grouped frequency distributions. In this chapter, you will learn how to calculate mean, median, mode of a given data. Further, you will also learn the concept cumulative frequency and how to draw cumulative frequency distribution curves also called ogives.

#### Chapter 15 – Probability

The probability of an event is defined as the ratio of the number of favorable events to the total number of events. The value of probability lies between 0 to 1. This chapter has two exercises. Each of the exercises has a lot of questions that develop your knowledge about probability.

Here in this article, we have discussed each chapter of NCERT class 10 maths textbook and provided their solutions. If you find any error in our solutions, please let us know about it by commenting below. Also, share your experience with our site and suggest how can we improve our contents in the feedback form. We always love to hear from you.

##### Frequently Asked Questions

**What is solution of Class 10 Maths?**

The solutions of Class 10 Maths contain the solutions of all the questions of the NCERT textbook. Students facing any difficulty in solving NCERT book questions can refer to the NCERT Solutions for Class 10 Maths.

**How many chapters are there in class 10 maths?**

As per the latest NCERT textbook there a total of 15 chapters in Class 10 maths.

**Which book is best for class 10 Maths?**

To get good marks and clear your concepts NCERT Class 10 Maths textbook in enough. But, to score excellent marks in the exams, students also need to solve problems from RD Sharma and RS Aggarwal book.