RD Sharma Class 11 Solutions


RD Sharma Class 11 textbooks are based on on the latest syllabus of Central Board of Secondary Education according to the CCE guidelines. The textbooks are designed for class 11 CBSE students. Here are the complete RD Sharma class 11 solutions to all questions in the textbook given in a detailed way, so that students can understand the concepts with ease.

Some features of RD Sharma solutions for class 11 book are:

1. Detailed illustrations with more than solutions.

2. Brief summary consisting of formulae and concepts.

3. An algorithmic approach to solve each problem

4. Complete answers to all the questions in RD Sharma class 11 maths textbook.

RD Sharma Class 11 solutions for all maths chapter are given in the table mentioned below. There are numerous important topics in class 11, which are all discussed here in-depth. Students can get the complete solutions for all RD Sharma questions to prepare for their examination.

RD Sharma Solution Class 11 Maths Book

Rd Sharma Class 11 Solutions Maths Chapter 1 Sets
Rd Sharma Class 11 Solutions Maths Chapter 2 Relations
Rd Sharma Class 11 Solutions Maths Chapter 3 Functions
Rd Sharma Class 11 Solutions Maths Chapter 4 Measurement Of Angles
Rd Sharma Class 11 Solutions Maths Chapter 5 Trigonometric Functions
Rd Sharma Class 11 Solutions Maths Chapter 6 Graphs Of Trigonometric Functions
Rd Sharma Class 11 Solutions Maths Chapter 7 Trigonometric Ratios Of Compound Angles
Rd Sharma Class 11 Solutions Maths Chapter 8 Transformation Formulae
Rd Sharma Class 11 Solutions Maths Chapter 9 Trigonometric Ratios Of Multiple And Sub Multiple Angles
Rd Sharma Class 11 Solutions Maths Chapter 10 Sine And Cosine Formulae And Their Applications
Rd Sharma Class 11 Solutions Maths Chapter 11 Trigonometric Equations
Rd Sharma Class 11 Solutions Maths Chapter 12 Mathematical Induction
Rd Sharma Class 11 Solutions Maths Chapter 13: Complex Numbers
Rd Sharma Class 11 Solutions Maths Chapter 14 Quadratic Equations
Rd Sharma Class 11 Solutions Maths Chapter 15 Linear Inequations
Rd Sharma Class 11 Solutions Maths Chapter 16 Permutations
Rd Sharma Class 11 Solutions Maths Chapter 17 Combinations
Rd Sharma Class 11 Solutions Maths Chapter 18 Binomial Theorem
Rd Sharma Class 11 Solutions Maths Chapter 19 Arithmetic Progressions
Rd Sharma Class 11 Solutions Maths Chapter 20 Geometric Progressions
Rd Sharma Class 11 Solutions Maths Chapter 21 Some Special Series
Rd Sharma Class 11 Solutions Maths Chapter 22 Brief Review Of Cartesian System Of Rectangular Coordinates
Rd Sharma Class 11 Solutions Maths Chapter 23 The Straight Lines
Rd Sharma Class 11 Solutions Maths Chapter 24 The Circle
Rd Sharma Class 11 Solutions Maths Chapter 25 Parabola
Rd Sharma Class 11 Solutions Maths Chapter 26 Ellipse
Rd Sharma Class 11 Solutions Maths Chapter 27 Hyperbola
Rd Sharma Class 11 Solutions Maths Chapter 28 Introduction To 3D Coordinate Geometry
Rd Sharma Class 11 Solutions Maths Chapter 29 Limits
Rd Sharma Class 11 Solutions Maths Chapter 30 Derivatives
Rd Sharma Class 11 Solutions Maths Chapter 31 Mathematical Reasoning
Rd Sharma Class 11 Solutions Maths Chapter 32 Statistics
Rd Sharma Class 11 Solutions Maths Chapter 33 Probability

RD Sharma Solutions for Class 11 Maths Chapter 1 – Sets

Chapter 1 of RD Sharma Class 11 Solutions explains about the concept of sets. All the important terms covered in the textbook are discussed in this chapter as per the latest CBSE syllabus. Students are advised to solve the exercise wise problems by referring to the solutions PDF for a better hold on the important concepts. The exercise wise problems are solved in a comprehensive manner for a better understanding of the important topics which are important from the exam point of view.

Provided below are the links to the exercise wise solutions of this chapter.

Exercise 1.1

Exercise 1.2

Exercise 1.3

Exercise 1.4

Exercise 1.5

Exercise 1.6

Exercise 1.7

Exercise 1.8

RD Sharma Solutions for Class 11 Maths Chapter 2 – Relations

The cartesian product of sets is the main operation which is discussed under this chapter. The brief explanation of important concepts enables students to understand the concept of relation effortlessly. Students who have doubts in the important concepts can refer to the solutions designed by the experts at CoolGyan’S having vast experience in the education industry. The solutions are created chapter wise and exercise wise to fulfill the needs of the students. 

This chapter contains three exercises and the solution links are available below.

Exercise 2.1

Exercise 2.2

Exercise 2.3

RD Sharma Solutions for Class 11 Maths Chapter 3 – Functions

The concept of function as a corresponding between two sets, and function having a relation from one set to the other set is discussed in brief under this chapter. The tutor team at CoolGyan’S have prepared solutions to help students attain good marks in the annual exam. The textbook problems are solved in a simple and well structured manner based on the latest CBSE syllabus and guidelines. The solutions help students to understand their areas of weakness and work on them for a better academic performance.

The exercise wise solution links of this chapter are mentioned here.

Exercise 3.1

Exercise 3.2

Exercise 3.3

Exercise 3.4 

RD Sharma Solutions for Class 11 Maths Chapter 4 – Measurement of Angles

Students in the previous classes would have learnt that trigonometry is a branch of Mathematics which deals with angles and sides of a triangle. Relation between degrees, radians and real numbers are the main concepts which are covered under each exercise. The expert faculty at CoolGyan’S have given the exercise wise solutions to help students gain more knowledge in the subject. By regular practice, students will be able to come up with flying colours in the annual exams. There is only one exercise in this chapter which can be downloaded by the students in PDF format.

RD Sharma Solutions for Class 11 Maths Chapter 5 – Trigonometric Functions

Chapter 5 of RD Sharma Solutions explains about the definitions of trigonometric ratios to any angle and learns them as trigonometric functions. Shortcut tips and practical examples are explained in the solutions module in a simple language to help students score well in the exam. The solutions are designed in a lucid and accurate form to encourage students in solving complex problems in the most efficient ways. 

There are 3 exercises in this chapter and the solution links are provided here.

Exercise 5.1

Exercise 5.2

Exercise 5.3

RD Sharma Solutions for Class 11 Maths Chapter 6 – Graphs of Trigonometric Functions

In Chapter 5, students would have understood that trigonometric functions are periodic functions. But here we shall discuss the graphs on the intervals of lengths equal to their periods. We at CoolGyan’S have formulated the solutions to enhance the performance of students in the Class 11 annual exam. The graphs of sine, cosine, tangent, cosecant, cotangent and secant are the main concepts which are covered under this chapter.

This Chapter has 3 exercises and the solution links are as follows.

Exercise 6.1

Exercise 6.2

Exercise 6.3

RD Sharma Solutions for Class 11 Maths Chapter 7 – Trigonometric Ratios of Compound Angles

The formulae which expresses the values of trigonometric functions at the sum or difference of two real numbers are derived in this chapter. The experts at CoolGyan’S have formulated these solutions in a lucid manner as per the latest CBSE syllabus. The shortcut tips explained in a simple language helps students to grasp the important concepts effortlessly. The maximum and minimum value of trigonometric expressions and to express the given expressions in designed form are the other topics which are highlighted in this chapter.

Chapter 7 has 2 exercises and the exercise wise links of the solutions are given here.

Exercise 7.1

Exercise 7.2

RD Sharma Solutions for Class 11 Maths Chapter 8 – Transformation Formulae

The solutions for the RD Sharma textbook are designed in accordance with the latest CBSE syllabus. In Chapter 8, two sets of transformation formulae are explained in a simple language to make the concepts clear among the students. These two sets of formulae are of fundamental importance and the students should be thorough with them in order to solve the exercises efficiently. Practising the exercise wise solutions on a daily basis is an essential task among students to learn and score well in the annual exam.

The exercise wise solution links of Chapter 8 is provided below.

Exercise 8.1

Exercise 8.2

RD Sharma Solutions for Class 11 Maths Chapter 9 – Trigonometric Ratios of Multiple and Sub Multiple Angles

The formula expressing the values of trigonometric functions at multiples and submultiples of ‘x’ is the main concept discussed in this chapter. The solutions of chapter wise problems are completely exam oriented to help students score well in the annual exam. Practising the exercise wise problems on a regular basis will ensure students to excel in their final exams. The values of trigonometric functions at some important points are the other important concepts discussed in this chapter.

The exercise solution links for the topics covered in this chapter are given here.

Exercise 9.1

Exercise 9.2

Exercise 9.3

RD Sharma Solutions for Class 11 Maths Chapter 10 – Sine and Cosine Formulae and their Applications

Practising all the exercise wise questions on a regular basis helps students to achieve a good academic score in Mathematics. Chapter 10 of RD Sharma Solutions helps students to learn about some trigonometric relations with elements of a triangle. Students having doubts about the important concepts can cross check their answers referring to the RD Sharma Solutions prepared by the experts at CoolGyan’S. The laws of sines, cosines, projection formulae, Napier’s analogy and area of triangle are the important concepts covered in this chapter. 

This chapter consists of two exercises and the solution links for the exercise wise problems are available below.

Exercise 10.1

Exercise 10.2

RD Sharma Solutions for Class 11 Maths Chapter 11 – Trigonometric Equations

Students get an overview of the trigonometric equations in this chapter. Trigonometric equations are nothing but equations having trigonometric functions of unknown angles. Students who are not able to understand the complex topics during class hours can refer to the solutions provided in PDF format. The solutions are curated with the main objective of helping students understand the fundamental concepts which are important from the exam perspective. This chapter has only one exercise which can be referred by the students to score well in the Class 11 exams. 

RD Sharma Solutions for Class 11 Maths Chapter 12 – Mathematical Induction

This chapter mainly throws light on the problems based on principles of mathematical induction. The solutions are designed by the expert tutor at CoolGyan’S keeping in mind the understanding abilities of students. Each and every problem is solved in an explanatory manner to make learning fun for the students. Mathematical statements is another important concept which is explained in this chapter.

The PDF links of the exercise wise problems are provided below for easy access.

Exercise 12.1

Exercise 12.2

RD Sharma Solutions for Class 11 Maths Chapter 13 – Complex Numbers

The combination of both real numbers and imaginary numbers are called complex numbers. Suitable examples are provided for each concept with detailed explanations to make the understanding of concepts easier among students. Integral powers of IOTA, imaginary quantities, equality, addition, subtraction, multiplication, division and modulus of complex numbers are various other concepts which are covered in this chapter.

The solution links of all four exercises in this chapter are given below.

Exercise 13.1

Exercise 13.2

Exercise 13.3

Exercise 13.4

RD Sharma Solutions for Class 11 Maths Chapter 14 – Quadratic Equations

In the previous classes, students would have learnt about quadratic equations with real coefficients and real roots only. But in this chapter, the important concepts like quadratic equations with real coefficients and complex roots are discussed in brief. Students can solve the exercise wise problems on a daily basis referring to the solutions designed by the experts at CoolGyan’S to score well in the exams. 

There are 2 exercises in this chapter and the links of the solutions PDF is provided here.

Exercise 14.1

Exercise 14.2

RD Sharma Solutions for Class 11 Maths Chapter 15 – Linear Inequations

Linear Inequations in one and two variables is the main concept which is covered in this chapter. The knowledge of this concept helps students to solve problems in various streams like Engineering, Mathematics, Science and Linear Programming etc. The comprehensive explanations of solutions help students in solving complex problems in the most efficient ways possible. Graphical representation of problems helps students to understand the concepts without any difficulty.

All six exercise problems of this chapter are solved by subject matter experts at CoolGyan’S and the solution links are provided below.

Exercise 15.1

Exercise 15.2

Exercise 15.3

Exercise 15.4

Exercise 15.5

Exercise 15.6

RD Sharma Solutions for Class 11 Maths Chapter 16 – Permutations

The term and notation of a factorial is introduced in this chapter. The solution module involves various shortcut tricks and illustrations to explain the exercise problems in an understandable manner. The faculty at CoolGyan’S have simplified the complex problems into simpler steps, which can be easily solved by the students. The factorial, fundamental principles of counting, permutations, permutations under certain conditions and permutations of objects not all distinct are the other concepts which are explained in this chapter. 

Students can hereby access the solutions of 5 exercises from the links given here.

Exercise 16.1

Exercise 16.2

Exercise 16.3

Exercise 16.4

Exercise 16.5

RD Sharma Solutions for Class 11 Maths Chapter 17 – Combinations

Every different selection made by considering some or all of the number of objects, irrespective of their arrangements is termed as combinations. Combinations, Properties of C, practical problems of combinations and mixed problems on permutations and combinations are the main concepts explained in this chapter. The RD Sharma Solutions for Class 11 Maths can be used as a reference material by the students while solving the textbook problems to score well in the annual exams.

This chapter contains 3 exercises and the PDF solution links are as follows.

Exercise 17.1

Exercise 17.2

Exercise 17.3

RD Sharma Solutions for Class 11 Maths Chapter 18 – Binomial Theorem

An algebraic expression possessing two terms is known as binomial expressions. Binomial theorem, some important conclusions, general and middle terms in a binomial expansion are the main concepts discussed in this chapter. These solutions provide the students with guidance in solving complex problems without any difficulty. Students under the CBSE board can download the solutions PDF and refer to them while solving the textbook problems.

2 exercises are present in this chapter and the PDF links are given below.

Exercise 18.1

Exercise 18.2

RD Sharma Solutions for Class 11 Maths Chapter 19 – Arithmetic Progressions

A sequence in which the difference between the term and previous term is always a constant is called an arithmetic progression. Students often have difficulty in understanding the concepts during class hours. For this purpose, the teachers at CoolGyan’S have designed the exercise wise problems as per the grasping abilities of students. By solving these problems on a regular basis, students will improve their problem solving skills which are important from the exam perspective.

There are 7 exercises in this chapter and the links to the exercise wise solutions are provided here.

Exercise 19.1

Exercise 19.2

Exercise 19.3

Exercise 19.4

Exercise 19.5

Exercise 19.6

Exercise 19.7

RD Sharma Solutions for Class 11 Maths Chapter 20 – Geometric Progressions

A sequence in which the ratio of the term and the preceding term is alway a constant is called a geometric progression. The subject experts have designed the exercise wise solutions based on the latest syllabus of the CBSE board. The solutions contain explanations in a step wise manner to improve the conceptual knowledge in the minds of students. RD Sharma Solutions curated by the CoolGyan’S tutor are of immense help to the students who aim to score good marks in the Class 11 exams.

The exercise wise solution links for the problems present under this chapter are available below.

Exercise 20.1

Exercise 20.2

Exercise 20.3

Exercise 20.4

Exercise 20.5

Exercise 20.6

RD Sharma Solutions for Class 11 Maths Chapter 21 – Some Special Series

The sum to ‘n’ terms of some other special series is the main concept explained in this chapter. RD Sharma Solutions are designed for the students under the CBSE board as per the latest syllabus and guidelines. Method of difference and summation of some special series are the other topics covered here. Students are advised to thoroughly solve the textbook problems before the final exams and intensify their abilities to solve complex problems.

Chapter 21 has two exercises and the links for the exercise wise solutions designed by the subject experts at CoolGyan’S are provided here.

Exercise 21.1

Exercise 21.2

RD Sharma Solutions for Class 11 Maths Chapter 22 – Brief Review of Cartesian System of Rectangular Coordinates

RD Sharma Solutions prepared by the experts at CoolGyan’S contains a variety of shortcut tips with the aim of helping students ace the exam without fear. This chapter deals with topics like cartesian coordinate system, distance between two points, area of a triangle, section formula, locus and shifting of origin. Students are advised to refer to the solutions PDF in order to gain a strong knowledge of fundamental concepts. It also provides students with an overview of the concepts which are important for the exams.

This chapter has three exercises and the solution links below provides answers for all the questions present in the textbook.

Exercise 22.1

Exercise 22.2

Exercise 22.3

RD Sharma Solutions for Class 11 Maths Chapter 23 – The Straight Lines

A straight line is a curve where every point on the line segment joining any two points lies on it. This chapter discusses the concept of straight lines with numerous examples to provide better understanding in the minds of students. The faculty at CoolGyan’S have solved each and every problem accurately as per the textbook prescribed by the CBSE board. The solutions are detailed and considered to be the best reference guide for the students preparing for their Class 11 exams. 

Students can download the PDF of 19 exercise solutions of this chapter from the links given below.

Exercise 23.1

Exercise 23.2

Exercise 23.3

Exercise 23.4

Exercise 23.5

Exercise 23.6

Exercise 23.7

Exercise 23.8

Exercise 23.9

Exercise 23.10

Exercise 23.11

Exercise 23.12

Exercise 23.13

Exercise 23.14

Exercise 23.15

Exercise 23.16

Exercise 23.17

Exercise 23.18

Exercise 23.19

RD Sharma Solutions for Class 11 Maths Chapter 24 – The Circle

In this chapter, students will learn about the circles and the equation of any circle whose centre and radius are given. The experts at CoolGyan’S create the exercise wise solutions after conducting a vast research on each concept by keeping in mind the understanding of students. Shortcut techniques are used in order to help students in solving complex problems without any difficulty. RD Sharma Class 11 Solutions is considered to be one of the best study materials for the students in the current education market.

Chapter 24 has 3 exercises and the links of the PDF solutions are provided below.

Exercise 24.1

Exercise 24.2

Exercise 24.3

RD Sharma Solutions for Class 11 Maths Chapter 25 – Parabola

Chapter 25 explains students about the parabola and to find the general equation of a conic section when its directrix, focus and eccentricity are provided. Students who are not able to understand the important concepts during class hours are recommended to solve the problems using the solutions PDF as a reference guide. The solutions are available in both online and offline mode based on the comfortness of students. The PDF can be downloaded by the students and used whenever they feel to study irrespective of time and place.This chapter has one exercise covering all the concepts which are important from the exam perspective.

RD Sharma Solutions for Class 11 Maths Chapter 26 – Ellipse

This chapter mainly deals with the concept of ellipse and to determine the equation of ellipse in standard and other forms. In order to boost the academic level of students in the annual exams, we at CoolGyan’S have designed exercise wise solutions for the problems available in the textbook. Students can download the PDF and start practising the exercises in order to obtain a grip on the fundamental concepts. The solutions contain explanations in a simple language by keeping in mind the understanding abilities of students irrespective of their intelligence quotient. Chapter 26 has only one exercise as per the latest CBSE syllabus.

RD Sharma Solutions for Class 11 Maths Chapter 27 – Hyperbola

In the earlier chapters, we have discussed that a hyperbola is a particular case of conic. But here in this chapter, students learn about hyperbola in detail by determining the equation in standard form. The solutions created by the experts help students improve their logical approach to solving difficult problems. The detailed explanations under each problem help students in preparing well for their annual exams. Students who are not able to understand the concepts covered in this chapter can download the solutions PDF and start practising offline for better results. This chapter has only one exercise covering all the topics based on the latest syllabus of CBSE board.

RD Sharma Solutions for Class 11 Maths Chapter 28 – Introduction to 3D Coordinate Geometry

The coordinates of a point in space, signs of coordinates of a point, distance formula and section formula are the important topics covered in this chapter. The subject matter experts having vast knowledge about these concepts create the exercise wise solutions by keeping in mind the understanding levels of students. Each and every problem is solved in a comprehensive way in order to help students analyse the type of problems that would appear in the exams. 

Students can access the exercise wise solutions designed by the CoolGyan’S tutor from the links given below.

Exercise 28.1

Exercise 28.2

Exercise 28.3

RD Sharma Solutions for Class 11 Maths Chapter 29 – Limits

The concept of limits and its derivations are explained in brief in this chapter. Students who find it difficult to grasp the topics can make use of the solutions designed by the highly knowledgeable experts at CoolGyan’S. The evaluation of algebraic limits, trigonometric limits, exponential and logarithmic limits are the other concepts which are covered in this chapter. Numerous solved examples are present before each exercise wise problems in order to help students understand the method of solving problems efficiently.

There are 11 exercises in this chapter and the links of the solutions PDF designed by the experts at CoolGyan’S are as follows.

Exercise 29.1

Exercise 29.2

Exercise 29.3

Exercise 29.4

Exercise 29.5

Exercise 29.6

Exercise 29.7

Exercise 29.8

Exercise 29.9

Exercise 29.10

Exercise 29.11

RD Sharma Solutions for Class 11 Maths Chapter 30 – Derivatives

Chapter 30 of RD Sharma Class 11 Solutions provides students with the knowledge of derivatives at a point. The derivative at a point, derivative of a function, differentiation from first principles and fundamental rules for differentiation are the concepts of importance under this chapter. Students who aspire to score well in the annual exams are advised to solve the chapter wise problems using the solutions PDF devised by the experts at CoolGyan’S. It mainly helps students to understand the type of questions that would appear in the exams and work on them for better results.

The PDF links of exercise wise solutions are provided below for further reference. 

Exercise 30.1

Exercise 30.2

Exercise 30.3

Exercise 30.4

Exercise 30.5

RD Sharma Solutions for Class 11 Maths Chapter 31 – Mathematical Reasoning

This chapter helps students to learn about the concepts like statements, negation of a statement, compound statements, basic connectives, quantifiers, implications and validity of statements. The solutions are designed to facilitate easy learning and help students to understand the concepts covered in this chapter. The PDF of solutions can be used as a reference tool to quickly review all the topics which are important from the exam point of view. 

To understand the various methods of solving problems, students can download the solutions PDF from the exercise wise links provided below.

Exercise 31.1

Exercise 31.2

Exercise 31.3

Exercise 31.4

Exercise 31.5

Exercise 31.6

RD Sharma Solutions for Class 11 Maths Chapter 32 – Statistics

Students would have learnt about the methods of representing the given data graphically and in tabular form. In this chapter, students understand the methods of determining a representative value of the given data. Measures of dispersion, range, mean deviation, limitations of mean deviation, variance and standard deviation and analysis of frequency distribution are the other important topics discussed here. RD Sharma Solutions help students to understand the shortcut tips and tricks which can be used in solving complex problems without any difficulty.

This chapter contains 7 exercises and the PDF links of the solutions are as follows.

Exercise 32.1

Exercise 32.2

Exercise 32.3

Exercise 32.4

Exercise 32.5

Exercise 32.6

Exercise 32.7

RD Sharma Solutions for Class 11 Maths Chapter 33 – Probability

In the previous classes, students would have learnt about the statistical and classical approach. But in this chapter, the serious deficiencies and limitations are discussed as per the CBSE syllabus. The experts at CoolGyan’S have curated the chapter wise solutions in an interactive manner to help students understand the concepts. The topics like sample spaces, random experiments, events, algebra and types of events are also covered according to the prescribed board. 

The exercise wise solution links of Chapter 33 are provided below.

Exercise 33.1

Exercise 33.2

Exercise 33.3

Exercise 33.4

Frequently Asked Questions on RD Sharma Solutions for Class 11

How many Chapters are there in RD Sharma Maths Class 11?

There are 33 Chapters are there in Class 11 RD Sharma Textbook. Viz, Sets, Relations, Functions, Measurement Of Angles, Trigonometric Functions, Graphs Of Trigonometric Functions, Trigonometric Ratios Of Compound Angles, Transformations formulae, Trigonometric Ratios Of Multiple And Sub Multiple Angles, Sine And Cosine Formulae And Their Applications, Trigonometric Equation, Mathematical Induction, Complex Numbers, Quadratic Equations, Linear Inequations, Permutations, Combinations, Binomial Theorem, Arithmetic Progression, Geometric Progression, Some Special Series, Brief Review Of Cartesian System Of Rectangular Coordinates, The Straight Lines, The Circle, Parabola, Ellipse, Hyperbola, Introduction To 3D Coordinate Geometry, Limits, Derivatives, Mathematical Reasoning, Statistics and Probability.

Why are CoolGyan’S RD Sharma Solutions Favoured by Class 11 students?

The fidelity and correctness of the solutions provided by CoolGyan’S are the main reason to opt for the solution. The solutions provided on the website will be in a student-friendly language which makes learning easier.

How to achieve good marks in Class 11 Mathematics?

By referring to CoolGyan’S RD Sharma Solutions for Class 11 Maths students can achieve high marks in finals. The practice is an essential task to learn and score well in Mathematics. The students are required to go through RD Sharma Solutions thoroughly before the final exams to score well and intensify their problem-solving abilities.