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# NCERT Solutions for Class 10 Maths

NCERT Solutions for Class 10th Maths are drafted in an easy and simple language in a step by step way to help you with CBSE Class 10th exam preparation. All the solutions are precise and fully accurate. The CBSE Class 10 Maths book comprises 15 chapters that cover a plethora of interesting and intriguing topics. Our NCERT Solutions for Class 10 Maths book are well-structured, and follow a logical flow in a manner to make your learning a fast yet effective process.

Some of the important chapters covered in CBSE Board Class 10 Maths are  real numbers, polynomials, pairs of linear equations in two variables, quadratic equations, triangles, arithmetic progression, coordinate geometry and introduction to trigonometry.  Our NCERT Solutions give you an in-depth understanding of all the concepts covered in the syllabus and help you develop a strong conceptual base.

NCERT Class 10th Maths solutions contain complete explanations, illustrative diagrams and relevant examples. These solutions are in a systematic way which helps you in building up a strong base of all the concepts. If you choose to learn and revise from our smart NCERT solutions, then nothing can stop you from acing your Class 10 Board exams.

Class 10

## Chapter-wise NCERT Solutions for Class 10 Maths

NCERT Solutions cover all the major topics and subtopics of Class 10 Maths subject. We have followed a proper format to explain all the concepts in a step by step manner to save your time and effort. NCERT Class 10 Maths has 15 chapters on the whole. Below is the overview of chapters which are included in CBSE Class 10 Maths book syllabus.

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

Real Numbers is the first chapter of Class 10 Maths. This chapter comprises 4 exercises which are based on Euclid’s Division Lemma, Revisiting Irrational Numbers, The Fundamental Theorem of Arithmetic and Revisiting Rational Numbers and Their Decimal Expansions. This chapter has two theorems in it with appropriate examples and problems. Our NCERT Solutions of Class 10 Maths Chapter 1 consists of answers to 18 questions at the end of the chapter. These solutions are 100% accurate and drafted by our subject matter experts.

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

Polynomials are the second chapter of CBSE Board Class 10 Maths Book. This chapter comprises 4 exercises in which the last exercise is an optional one. You will come across topics like polynomials with one variable, linear polynomials, quadratic polynomials, cubic polynomials, Geometrical meaning of the zeroes of a polynomial, the relationship between zeroes and coefficients of a polynomial, and division algorithm for polynomials. The solutions to the exercises are prepared as per the guidelines provided by CBSE and NCERT.

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

Pair of Linear Equations in Two Variables is the third chapter of NCERT Class 10 Maths Book. The chapter discusses the pair of linear equations in two variables, algebraic methods of solving a pair of linear equations. This concept includes various methods like substitution, elimination and cross-multiplication method. You will also come across a graphical method of solving a pair of linear equations and equations reducible to a pair of linear equations in two variables.

Chapter 3 of NCERT 10th Class Maths mainly focuses on how to solve pairs of linear equations by the graphical method. Our NCERT Solutions for Class 10 Maths Chapter 3 has 7 exercises which have 29 questions, prepared by our Maths experts all questions of all exercises in detail.

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

Quadratic Equations is the fourth chapter of NCERT Class 10 Maths syllabus. In this, you shall come across various interesting topics such as introduction to quadratic equations, quadratic polynomial, the standard form of quadratic equation, factorisation method, quadratic equation by the completion of the square method, nature of roots and a quadratic equation in a graphical representation.

Class 10 Maths Chapter 4 consists of 4 exercises with 24 questions in total, the answers to which are phrased in an easy and simple language.

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

Arithmetic Progressions is one of the most important chapters of NCERT Solutions for Class 10th Maths Book. This chapter will explain to you about the sequence of numbers and how each term is extracted by adding a fixed number to the preceding term by excluding the first term. This chapter introduces you to the basics of arithmetic progressions, their common difference, infinite and finite arithmetic progressions, nth term of an Arithmetic Progressions and sum of first n terms of an Arithmetic Progressions.

Our Solutions for NCERT Class 10 Maths chapter 5 has 4 exercises, and it has 49 questions, and all the questions are answered as per the guidelines of CBSE and NCERT.

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

Triangles are the sixth unit of NCERT Class 10 Maths Book. This chapter teaches you about similar types of triangles with proofs, theorems and problems. You will come across similar triangles, proof of Pythagoras theorem and the criteria for similarity of triangles. NCERT Class 10 Maths Chapter 6 has 6 exercises which have 65 questions in total, and this will help you gain a solid understanding of the various concepts of the chapter.

## NCERT Solutions for Class 10 Maths Chapter 7: Coordinate Geometry

Coordinate Geometry is the 7th chapter of NCERT Class 10 Maths which will teach you how to find the distance between points with the given coordinates. You will learn about points on a cartesian plane, distance formula, section formula, midpoints, points of trisection, the centroid of a triangle and areas from coordinates.

NCERT Solutions for CBSE Class 10 Coordinate Geometry chapter consist of 4 exercises which have 33 questions and they cover all the topics from the chapter. Our NCERT solutions are also drafted in a step by step way to help you understand all concepts easily.

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

Trigonometry chapter of NCERT Class 10th Maths will explain about trigonometry ratios. It will teach you about sine, cosine, tangent, cosecant, secant, cotangent. The chapter also discusses the opposite and adjacent sides in a right-angled triangle, visualisation of triangle ratios using a unit circle and trigonometric identities.

Trignometry chapter of Class 10 Maths consists of 4 exercises which have 27 questions in total and these questions cover the major topics of the chapter. Solutions provided to these are easy and simple to understand.

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

Some Applications of Trigonometry of Class 10 Maths Book will teach you the ways to implement trigonometry and resolve your real-life problems. Interesting parts of the chapter are heights and distances, angle of elevation, angle of depression and calculating heights and distances. Our Solutions for NCERT Class 10 Maths chapter 9 consists of 1 exercise with 16 questions in total and these questions are drafted as per the guidelines given by NCERT.

## NCERT Solutions for Class 10 Maths Chapter 10: Circles

Class 10 Maths Circles chapters will teach you a brief about the circles through various theorems, diagrams and examples. You will be introduced to circle and line in a plane, tangent, secant, tangent as a special case of secant, two parallel tangents at most for a given secant and the theorem that proves that the tangent is perpendicular to the radius at the point of contact of the tangent.

The solutions for Class 10 Maths chapter 10 answers all the 17 questions of the 2 exercises of the chapter. The solutions to these exercise questions are drafted from the exam point of view.

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

Constructions is one of the essential chapters of Class 10 Maths. Here you will gain the basic knowledge of constructions. You will also come across topics such as dividing a line segment, constructing similar triangles, drawing tangents to a circle, Drawing of tangents to a circle from a given point, tangents to a circle from a point outside the circle and tangents to a circle from a point on the circle.

Chapter 11 consists of 2 exercises which have 14 questions in total, and these questions answered in an easy to understand language so that you can master complex topics easily.

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

Areas Related to Circles chapter of NCERT Class 10 Maths Book will teach you about the circles. Chapter 12 mainly focuses on circumference of a circle, the segment of a circle, a sector of a circle, the angle of a sector, length of an arc of a sector, area of a sector of a circle, area of a triangle and visualisations.

Chapter 12 consists of 3 exercises with 35 questions in total, and they cover all the topics and sub-topics from the chapter. The solutions provided to these questions are phrased in an easy and simple language

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

Surface Areas and Volumes is one of the fascinating chapters of Class 10 Maths textbook. In CBSE Class 10 Maths solutions, you will understand about the cuboid and its surface area, cube and its surface area, cylinder and it’s surface area, right circular cone, sphere and volume of cube, cuboid and cylinder.

You will also come across the hemisphere and its surface area, combination of solids, shape conversion of solids and volume of a frustum. Chapter 13 solutions consist of 5 exercises with 38 questions in total, and they are prepared by expert teachers based on the current Class 10 Maths syllabus.

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

Statistics chapter is one of the simplest chapters among all other chapters of CBSE Class 10 Maths solutions. This chapter is connected to the arithmetic calculations, which involve grouped data, ungrouped data and the measures of central tendencies. This also explains explicitly about frequency, mean, median and mode.

The NCERT Solutions for Class 10 Maths chapter 14 consists of 4 exercises which have 25 questions in total and these questions cover the major topics of the chapter. Solutions provided to these make learning this chapter an easy task.

## NCERT Solutions for Class 10 Maths Chapter 15: Probability

Probability is one of the easiest chapters of NCERT Class 10 Maths. This basically deals with event and outcome, experimental probability, theoretical probability, elementary event, the sum of probabilities, impossible event, sure event, range of probability of an event and geometric probability.

NCERT Solutions for CBSE Class 10 Probability chapter consists of 2 exercises which have 30 questions in total, and they cover all the topics from the chapter. These solutions are also drafted in a step by step way to make it easy for you to learn the chapter well.