# NCERT Class 10 Maths Solution, Notes , Book PDF All Solution Class 10 NCERT Class 10 Maths Solution, Notes , Book PDF All Solution Class 10 NCERT solutions for math for class 10 for all exercises in Chapters 1 through 15 are provided here. These NCERT solutions are selected by our expert faculty to assist students in preparing for their board exams. Students looking for the NCERT solutions for class 10 math can download all pdfs by chapters to find a better approach to solving the problems.

The answers to the questions in the NCERT books are without a doubt the best study material a student can get. These CBSE NCERT Solutions for Class 10 Maths 2021-22 will also help students develop a deeper understanding of the concepts covered in the Class 10 Maths textbook. Practicing the textbook questions will help students analyze their level of readiness and knowledge of concepts. NCERT solutions to these questions in the books can help students clarify their doubts quickly.

## Class 10 Maths Chapter Details and Exercises

### NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers

In Chapter 1 of Class 10, students will explore real numbers and irrational numbers. The chapter begins with Euclid’s Division Lemma which states that “Given the positive integers a and b, there exist unique integers q and r that satisfy a = bq r, 0≤r <b”. The Euclidean division algorithm is based on this lemma and is used to calculate the HCF of two positive integers. Next, we define the Fundamental Theorem of Arithmetic that is used to find the LCM and HCF of two positive integers. After that, the concept of an irrational number, a rational number, and the decimal expansion of rational numbers are explained with the help of the theorem.

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### NCERT Solutions for Class 10 Maths Chapter 2 Polynomials

In Polynomials, the chapter begins with the definition of degree of the polynomial, linear polynomial, quadratic polynomial, and cubic polynomial. This chapter has a total of 4 exercises, including an optional exercise. Exercise 2.1 includes the questions on how to find the number of zeros through a graph. It requires an understanding of the geometric meaning of the zeros of a polynomial. Exercise 2.2 is based on the relationship between zeros and coefficients of a polynomial where students have to find the zeros of a quadratic polynomial and in some of the questions they have to find the quadratic polynomial. In Exercise 2.3, the concept of the division algorithm is defined and students will find the questions related to it. Optional exercise 2.4 consists of the questions for all the concepts in Chapter 2.

### NCERT Solutions of Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

This chapter explains the concept of a pair of linear equations in two variables. This chapter has a total of 7 exercises, and these exercises describe different methods for solving the pair of linear equations. Exercise 3.1 describes how to represent a situation algebraically and graphically. Exercise 3.2 explains the methods for solving the pair in the linear equation using the graphical method. Exercises 3.3, 3.4, 3.5, and 3.6 describe the algebraic method, the elimination method, the cross-multiplication method, and the substitution method, respectively. Exercise 3.7 is an optional exercise that contains all kinds of questions. Students should practice these exercises to master the method of solving linear equations.

### NCERT Solutions of Class 10 Maths Chapter 4 Quadratic Equations

In this chapter, students will learn the standard way to write a quadratic equation. The chapter continues by explaining the method for solving the quadratic equation using the factoring method and completing the square method. The chapter ends with the topic on how to find the nature of roots, which states that, a quadratic equation ax² bx c = 0 has

### NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions

This chapter introduces students to a new topic which is arithmetic progression, that is, AP. The chapter consists of a total of 4 exercises. In Exercise 5.1, students will find the questions related to representing a situation in AP form, finding the first term and the difference of an AP, finding out whether a series is AP or not. Exercise 5.2 includes the questions on how to find the nth term of a PA using the following formula;

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

In Chapter 6 of Mathematics CBSE Class 10, students will study those figures that have the same shape but not necessarily the same size. The Triangles chapter begins with the concept of a similar and congruent figure. It also explains the similarity condition of two triangles and theorems related to the similarity of triangles. After that, the areas of similar triangles have been explained with a theorem. At the end of this chapter, the Pythagorean Theorem and the converse of the Pythagorean Theorem are described.

### NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry

This chapter will introduce students to trigonometry. They will study some ratios of a right triangle with respect to its acute angles, called trigonometric ratios of the angles. The chapter also defines the trigonometric ratios for angles of 00 and 900. In addition, students will also know how to calculate trigonometric ratios for some specific angles and establish some identities involving these ratios, called trigonometric identities.

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

This chapter is a continuation of the previous chapter, as here students will study the applications of trigonometry. It is used in geography, navigation, map construction, determining the position of an island in relation to longitudes and latitudes. In this chapter, students will see how trigonometry is used to find the heights and distances of various objects, without actually measuring them. You will be introduced to the term line of sight, angle of elevation, angle of depression.

### NCERT Solutions for Class 10 Maths Chapter 10 Circle

In previous classes, students have studied about a circle and various terms related to a circle such as a chord, segment, arc, etc. In this chapter, students will study the different situations that arise when a circle and a line meet in a circle. flat. Therefore, they will delve into the concept of tangent to a circle and number of tangents from a point in a circle.

### NCERT Solutions for Class 10 Maths Chapter 11 Constructions

This chapter consists of a total of 2 exercises. Everything the students have learned about construction in previous classes will also help them. In Exercise 11.1, students will study how to divide a line segment, while in Exercise 11.2 they will study the construction of tangents to a circle. The methods and steps for construction are explained and some examples are also given to make it more clear to the students.

### NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles

This chapter begins with the concepts of perimeter and area of ​​a circle. Using this concept, the chapter explains in more detail how to find the sector and segment area of ​​a circular region. In addition, students will gain clarity by finding the areas of some combinations of plane figures that involve circles or their parts.

### NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes

In Chapter 13, there are a total of 5 exercises. The first exercise consists of the questions based on finding the surface area of ​​an object formed by the combination of two basic solids, that is, cuboid, cone, cylinder, sphere and hemisphere. In the exercise, 13.2 questions are based on finding the volume of objects formed by combining two of a cuboid, a cone, a cylinder, a sphere, and a hemisphere. Exercise 13.3 deals with the questions in which a solid is converted from one form to another. Exercise 13.4 is based on finding the volume, the curved surface area, and the total surface area of ​​the trunk of a cone. The last exercise is optional and has high-level questions based on all the topics in this chapter.

### NCERT Solutions for Class 10 Maths Chapter 14 Statistics

Here, students will learn the numerical representation of disaggregated data into grouped data and will find the mean, mode, and median. In addition, the concept of cumulative frequency, cumulative frequency distribution, and how to draw cumulative frequency curves will be explained.

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