# RD Sharma Class 10 Solutions

RD Sharma Class 10 Maths Solutions is carefully compiled for you to prepare well for CBSE Class 10 Board exams. As the Class 10 board exam is a critical step in your academic life, you need a comprehensive learning method for every subject. CBSE Class 10 Maths Syllabus is completely covered in RD Sharma Class 10 Maths Book and its solutions.

RD Sharma Solutions for Class 10 complies all 16 chapters from different lines of Maths such as geometry, trigonometry, statistics and algebra. Our solutions cover all the chapters of the book. They are real numbers, polynomials, pair of linear equations in two variables, triangles, trigonometric ratios, trigonometric identities, statistics, quadratic equations, arithmetic progressions, circles, constructions, some applications of trigonometry, probability, coordinate geometry, areas related to circles and surface areas and volumes.

RD Sharma Class 10 Solutions have been prepared in a stepwise manner with proper explanations and cover a wide range of question types important for your board exams. You can practice questions of all the difficulty levels from our RD Sharma Class 10th Maths Book Solutions. Some questions are direct ones, some test your analytical skills, and some are based on your higher-order thinking skills. Our RD Sharma Solutions to all the exercise questions encourage you to learn, remember and revise easily for the Class 10 Maths exam and help you build a strong foundation.

## RD Sharma Solutions for Class 10 Maths

RD Sharma Class 10th Solutions cover all the topics, subtopics and concepts given in the CBSE Class 10 Maths syllabus. There are a total of 16 Chapters in RD Sharma Class 10 book, and components of these chapters have been discussed below.

## RD Sharma Class 10 Maths Solutions Chapter 1: Real Numbers

Real Numbers is the first Chapter of RD Sharma Class 10 Maths Book and the questions asked in the chapter utilise your knowledge about two very important properties of positive integers, namely Euclid’s division algorithm related to the divisibility of integers and Euclid’s lemma. Some problems are related to the Fundamental Theorem of Arithmetic which is related to multiplication of positive integers. Various theorems for irrational numbers are also covered in this chapter.

Class 10 Real Numbers chapter also talks about situations when a decimal expansion of p/q is terminating, and decimal expansion which is repeating or recurring are non-terminating. RD Sharma Class 10 chapter 1 contains 6 exercises and 68 questions, and our solutions provide methodical answers to all these questions.

## RD Sharma Class 10 Maths Solutions Chapter 2: Polynomials

There are 3 exercises and a total of 41 questions in RD Sharma Class 10 Polynomials chapter. In this chapter, you need to find quadratic polynomials, verify the relationship between the zeroes and the coefficients of given quadratic polynomials. Some questions ask you to perform divisions of given polynomials or find all the zeros of a polynomial. Our experts have used the best available strategies to answer these questions.

## RD Sharma Class 10 Maths Solutions Chapter 3: Pair of Linear Equations in Two Variables

In this Chapter, you learn graphical and algebraic methods of solution of a pair of linear equations. You also learn that when the graphical method is not suitable, substitution or elimination methods are used. Further, you solve questions using cross related multiplication methods, and those pairs of equations which are not linear are solved by first reducing them to linear form by making some suitable substitutions. There are 11 exercises and 242 questions in RD Sharma Class 10 chapter 3.

## RD Sharma Class 10 Maths Solutions Chapter 4: Triangles

There are 7 exercises consisting of 74 questions. In RD Sharma Class 10 Triangles chapter, you learn about telling the types of triangles. You also learn to prove congruence and similarity of triangles based on several criteria. This Chapter teaches you that two polygons of the same number of sides are similar if their corresponding angles are equal and also their corresponding sides are in the same ratio. You also solve questions based on Basic Proportionality Theorem and Pythagoras Theorem. In RD Sharma Class 10 chapter 4, you will gain knowledge about the converse of both Basic Proportionality Theorem and Pythagoras theorem.

## RD Sharma Class 10 Maths Solutions Chapter 5: Trigonometric Ratios

This Chapter of RD Sharma Class 10 Maths Book has a total of 3 exercises consisting of 87 questions. You need to determine the values of trigonometric ratios in a triangle when the measurement of sides is given, or other trigonometric ratios for a triangle are given. You also learn to determine the values of the trigonometric equation prepared with related trigonometric ratio terms. There are some questions which ask you to prove some trigonometric ratio relationships, and some need you to evaluate the given equations based on trigonometric ratios. All are solved in a step by step manner.

## RD Sharma Class 10 Maths Solutions Chapter 6: Trigonometric Identities

You learn in this topic of trigonometry that an equation involving trigonometric ratios of an angle is called a trigonometric identity which can be used to express and determine one trigonometric ratio in terms of other trigonometric ratios. Further, you learn to solve various equations involving trigonometric ratios of an angle where one trigonometric identity is proved first, and then it is used to prove further trigonometric identities. The solutions are determined by proving equality between the left-hand side and right-hand side equation. There are 2 exercises with 98 questions in RS Sharma Class 10 chapter 6, and all of these are answered in detail.

## RD Sharma Class 10 Maths Solutions Chapter 7: Statistics

There are 50 questions in 6 exercises of RD Sharma Class 10 Statistics chapter. Some of these questions are based on the direct calculation of mean, assumed mean and calculation of mean with step-deviation methods. Also, the median calculation with Class intervals, types of cumulative frequency distribution, and graphical representation of the median has also been dealt in a clear manner. Further, RD Sharma Class 10 chapter 7 teaches you about ways of estimating mode from a set of grouped data, ungrouped data, finding mode without Class intervals, graphical representation of mode, and calculation of central tendency.

## RD Sharma Class 10 Maths Solutions Chapter 8: Quadratic Equations

RD Sharma Solutions for Class 10 Quadratic Equations over the various types of questions, which are – determination of quadratic equations, formulation of quadratic equations. You also learn various ways of finding zeros or roots of quadratic equations like factorisation, completing the square and using the quadratic formula. There are a total of 13 exercises consisting of 99 questions in chapter 8. All the answers have been written by our experts in this field.

## RD Sharma Class 10 Maths Solutions Chapter 9: Arithmetic Progressions

There are 77 questions asked in a total of 6 exercises in chapter 9. This chapter gives you an overview of arithmetic progressions, nth term of an AP and sum of the first n given terms of an arithmetic progression. Some questions are based on the fact that successive terms are found by adding a fixed number to the preceding terms, and some ask you to describe the sequence by writing the algebraic formula for given terms whereas some ask you to find the sum of the given terms.

You also learn how to calculate nth terms and the sum of n consecutive terms. RD Sharma Class 10 chapter 9 teaches you how to use this knowledge to solve some daily life problems.

## RD Sharma Class 10 Maths Solutions Chapter 10: Circles

There are 2 exercises containing 13 questions in the RD Sharma Class 10 Maths chapter which are based on the properties of circles and tangents to a circle. Here you will also come across terms such as tangents, tangents of a circle, number of tangents passing from a given point on the circle. You will also learn to relate the fact that tangent to a circle is perpendicular to the radius at the point of contact and lengths of the two tangents from an external point to a circle are equal.

The involvement of geometrical calculations and diagrams makes the RD Sharma Class 10th Maths chapter 10 exciting for you.

## RD Sharma Class 10 Maths Solutions Chapter 11: Constructions

In the Construction chapter, You learn here how to construct geometrical shapes along with providing mathematical reasoning behind working of such constructions. You learn to divide a line segment in a particular ratio, construct a triangle which is similar to a triangle given already according to the given scale factor. You also learn to construct the tangents to a circle from a point outside it in different steps. Chapter 11 also teaches you how to draw linear and vertically opposite pair of angles and bisect them all using a ruler and a compass.

There are 3 exercises containing a total of 19 questions in this chapter. All the questions have been answered comprehensively describing all steps of construction required.

## RD Sharma Class 10 Maths Solutions Chapter 12: Some Applications of Trigonometry

There are 72 questions in 1 exercise of this Chapter. You learn to solve questions based on concepts of trigonometry. You are supposed to make an imaginary right angle using the information given in a question and then determine any one or a combination of following information asked – the height of the object, the distance between two objects which is usually the base of the imaginary triangle or length of the horizontal level. Some questions ask you to determine the angle of elevation or depression.

To solve some questions, you need to create/imagine two right-angled triangles either lying inside each other, placed back to back or placed opposite to each other. All of these have been answered systematically.

## RD Sharma Class 10 Maths Solutions Chapter 13: Probability

RD Sharma Class 10 Probability chapter has 2 exercises containing 69 questions. This chapter covers the basic concepts of probability. Some significant concepts of the Probability chapter include the theoretical approach to probability, random experiments, the meaning of events, the possible outcome of an event, elementary and complementary events and compound events.

Our RD Sharma Solutions cover all the concepts of the Chapter in detail. They are the best study material for learning and revising Chapter 12 during CBSE Board Class 10 Maths exam.

## RD Sharma Class 10 Maths Solutions Chapter 14: Coordinate Geometry

In RD Sharma Class 10 Coordinate Geometry chapter, you will come across 5 exercises with a total of 19 questions. The questions from the topic coordinate geometry let you solve different questions on locating the coordinates, determining the distance from a point, calculating the distance between two points, dividing a line segment into two parts in a given ratio and determination of the area of the triangle.

Solving all these questions enhances your skills of processing and applying the information provided in Class 10 Maths chapter 14.

## RD Sharma Class 10 Maths Solutions Chapter 15: Areas Related to Circles

There are 4 exercises containing 52 questions in chapter 15. This Chapter teaches you to determine the circumference and area of circles using the formula when information about the radius or diameter is given. It also teaches you to determine the length or angle of arc subtended on the perimeter of a given circle. Some questions of the exercises are based on the determination of the areas of major and minor segments given in a circle applying different formulas. Some of the questions ask you to calculate areas of combined geometrical figures.

## RD Sharma Class 10 Maths Solutions Chapter 16: Surface Areas and Volumes

In this Chapter, there are a total of 95 questions asked in 3 exercises. Surface Areas and Volumes chapter explicitly talks about three-dimensional geometrical figures. It teaches you how to calculate the surface area and volume of objects formed by combining any two of the basic solid shapes like cuboid, cone, cylinder, sphere and hemisphere. RD Sharma Class 10th chapter 16 also teaches you about the frustum of the right circular cone surface area and its volume.