Instasolv

IIT-JEE NEET CBSE NCERT Q&A

4.5/5

# RD Sharma Class 11 Solutions

RD Sharma Class 11 Maths Solutions are a key to enhance your problem-solving skills and abilities, thereby making you prepared for any type of complex question that you face in CBSE Class 11 Maths exam. The RD Sharma Solutions are designed by our subject-matter experts who are proficient in Maths. The experts provide accurate solutions with simplified explanations for every question in RD Sharma Class 11 book.

In Class 11 Maths, there is a drastic change in the syllabus which leaves the students in panic at times. There are about 33 chapters, in which few chapters are relatively more important. That includes trigonometric equations, differential calculus, permutations, and combinations.

In the RD Sharma Class 11 solutions, we provide detailed explanations for better understanding of the topic rather than just plain answers. Here you will find all the essential formulae that have to be memorized presented in a simpler way for easier learning. The concepts are streamlined with solutions for an efficient learning process. RD Sharma Maths Solutions by Instasolv is a one-stop solution where you can see all the practice questions that will help in your exam.

Class 11

## RD Sharma Class 11 Solutions Chapter 1 – Sets

Sets chapter contains 8 exercises, and a total of 162 questions. In this chapter, you will learn theory and then gradually come to the numericals. Few important topics are:

• Types of sets
• Venn diagrams
• Law of the algebra of sets
• Some important outputs from the number of elements in the sets.

## RD Sharma Class 11 Solutions Chapter 2 – Relations

The Relations chapter will have 3 exercises, 76 questions. Relations cannot be learnt until you have a good hold in the first chapter, i.e., sets. There are at least one question of 3-4 marks in the exam. The important concepts of this chapter are:

• Ordered pairs
• Domain and range of any set
• Cartesian product of sets
• Representation of a relation.
• The various types of relation
• Inverse of the relation

## RD Sharma Class 11 Solutions Chapter 3 – Functions

Functions have around 4 exercises, 118 questions. The marks weightage in class 11th exam can vary from 8 to 12 marks. The important concepts to cover in this chapter are:

• Description of the function
• Domain, co-domain and range of a function
• Evaluation of functions at specific values
• Equal functions
• Real functions
• Some other common types of functions.

## RD Sharma Class 11 Solutions Chapter 4 – Measurement of Angles

Chapter 4 will have one exercise with 28 questions and has comparatively shorter topics like:

• Sexagesimal system
• Relations between degrees
• Real numbers
• Centesimal System
• Circular system

Overall this is an easy chapter to deal with.

## RD Sharma Class 11 Solutions Chapter 5 – Trigonometric Functions

The chapter 5 contains 3 exercises with 118 questions and is a very important chapter from exam point of view, be it your school exams or any competitive exam. Important topics:

• Even and odd functions
• Values of trigonometric functions
• Principal solutions
• General solutions
• Basic Introduction to trigonometry
• Fundamental trigonometric identities.

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

Chapter 6 has three simple exercises with 34 questions that are easily explained. Almost every topic is important. Chapter 5 and 6 are very important. Chapter 5 acts as a fundamental for Chapter 6. The important sub-topics are given below:

• Graph of every trigonometric function is discussed here – graph of sine, cosine, tangent, cosecant, cotangent, secant functions.
• Variations on the axis with respect to every trigonometric function.

## RD Sharma Class 11 Solutions Chapter 7 – Values of Trigonometric Functions

Chapter 7 has a total 2 exercises with 90 questions. Important trigonometric expressions are given in this exercise. The whole chapter is based on trigonometric functions.

• Different values of trigonometric functions
• Formulae for different angles
• The base of transformation formula
• Basic formulas of Trigonometric functions

## RD Sharma Class 11 Chapter 8 – Transformation Formulae

The chapter contains 2 exercises with 90 questions and trigonometric formulae to memorize. The implications of the trigonometric formulas are explained with examples and questions. Important topics are:

• Trigonometric formulas
• Properties of trigonometric functions
• Application of the formulas
• Advanced level of transformation formula

## RD Sharma Class 11 Solutions Chapter 9 – Values of Trigonometric Functions at Multiples and Submultiples of an Angles

The chapter of RD Sharma Class 11 Maths book contains 2 exercises with 123 questions and few formulas and concepts where we must find the “x” integer and values of trigonometric functions. It is an important chapter which sets the base for trigonometric use in geometry.

• Multiple angle
• Sub-multiple angle
• Values of trigonometric angles
• Use of trigonometry in geometry
• Important formula related to sub-multiple angles

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

The chapter contains 2 exercises and laws to memorize. The concepts and implications must be understood with the help of questions. It has around 87 questions. The important topics are:

• The area of the triangle rule
• The Sine Rule
• The Cosine Rule
• Important trigonometric formula
• Application of Sine and Cosine
• Pythagoras theorem
• Napier’s analogy
• Law of tangents
• Projection formula

## RD Sharma Class 11 Solutions Chapter 11 – Trigonometric Equations

The chapter contains 2 exercises with 142 questions and some definitions for the trigonometric equations. The important topics are:

• Definitions
• Important equations related to the six ratios
• Sine function
• Cosine function
• Tangent function
• Secant function
• Cosecant function
• Cotangent function
• Application of general and specific solutions

## RD Sharma Class 11 Solutions Chapter 12 – Mathematical Inductions

The chapter contains 2 exercises with 66 questions. This chapter is aimed at the following things:

• The first and second principle of mathematical induction, the mathematical statements are important.
• The history of the mathematical induction
• The inductive hypothesis
• Difference between the two principles

## RD Sharma Class 11 Solutions Chapter 13 – Complex Numbers

The chapter contains four exercises with 153 questions. Until now, you had learnt only about real numbers. This will be the first time that you will be introduced to complex numbers. The important topics are:

• Mathematical representation of a complex number
• The meaning of iota
• The mathematical calculations of complex numbers
• Properties of complex number
• Division of complex numbers
• Representation of complex numbers

## RD Sharma Class 11 Solutions Chapter 14 – Quadratic Equations

You will build on the knowledge about quadratic equations from the previous classes. Various methods to solve quadratic equations would be taught. This chapter contains two exercises with 78 questions. The important topics are:

• Quadratic equations with real coefficients
• Factorisation method
• Completing the square method
• Graphical method
• Formula method

## RD Sharma Class 11 Solutions Chapter 15 – Linear Inequations

This is the first time that you are introduced to inequations. The chapter of linear inequation contains 6 exercises with 122 questions. The important topic are:

• One and two variable inequalities
• Solving the system of solutions
• Solving inequation with modulus and other operators
• Graphical solutions

## RD Sharma Class 11 Solutions Chapter 16 – Permutations

The chapter contains five exercises with 195 questions and permutations is a chapter where all concepts are important. You need to pay more attention to the following topics:

• Basic formulas of Permutations
• Permutation for distinct objects
• Permutation for non distinct objects
• What are factorials
• Special conditions in permutations
• Learning to use concept of Permutations and factorial together

## RD Sharma Class 11 Maths Solutions Chapter 17 – Combinations

The chapter contains three exercises with 118 questions and the concepts will go hand in hand with the previous chapter. The important topics are:

• Formula of combination
• Relation between Permutation and combination
• How to apply the formula of combination
• Determining when is Permutations or combinations to be used
• Determining the number of ways a certain set of letters can be arranged and so on.

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

It has two exercises with 51 questions. Binomial theorem is nothing but an algebraic expression which contains more than one term. The important topics of this chapter are:

• Definition of Binomial theorem
• General term in binomial expansion
• Middle term in binomial expansion
• Binomial formula of some expansions
• Binomial Theorem for positive integral numbers

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

The biggest chapter for class 11 maths with 7 exercises with 167 questions. Arithmetic progression is a series where there is common progression done at equal intervals. The important topics of this chapter are:

• Sequence
• Common difference
• Basic formula for nth term
• Arithmetic progressions
• Sum formula of arithmetic series
• Representation on the Cartesian plane

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

This chapter has 6 exercises with 176 questions. It is a series in which the next term always differs from the previous term in certain common ratios. The important topics are as follows:

• Formula of G.P
• Common ratio
• Initial term and common ratio
• Sum of terms
• Basic properties of GP

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

It has 2 exercises with 60 questions and a comparatively smaller chapter than others. The important topics of this chapter are given below:

• Sum of n terms
• Sum of natural numbers
• Sum of cubic numbers
• Sum of special series
• Other summations
• Difference between two numbers in a series

## RD Sharma Class 11 Maths Solutions Chapter 22 – Brief review of Cartesian System of Rectangular Coordinates

It has 3 exercises with 15 questions. This is a very short chapter and can be easily covered in a single go. The important topics of this chapter are as follows:

• Revision of previous knowledge
• Section formula
• Area of a triangle
• Various ways to find the area of the triangle
• Equation of locus
• Centroid, in-centre, ex-centre
• Cartesian coordinate system
• Shifting of the origin

## RD Sharma Class 11 Maths Solutions Chapter 23 – Straight lines

It has 19 exercises with 318 questions. This chapter is basically aimed at expounding the knowledge gained about Straight lines in the previous classes. Few important topics are

• How to find angles between lines
• Slope
• Equation of the line
• Distance formula
• Calculation of distance between points given
• Determining the angle between the lines
• various conditions of parallel lines

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

The Circle contains three exercises with 101 questions. The class 10th was actually where you were introduced to the basics of circle. In class 11th, there would be so much addition to it. The important topics of this chapter are:

• Standard equations and calculations for the circle.
• Theorem and formulas based on Circles
• Properties of Circles
• Rule of circle
• General equations of the circle
• Concepts and theorems related to tangent of the circle

## RD Sharma Class 11 Maths Solutions Chapter 25 – Parabola

The chapter contains one exercise with 65 questions. The important topics are:

• What is a parabola
• Applications of parabola
• General equation of parabola
• Properties of parabola
• Representation of parabola on graph
• Parametric coordinates of parabola

## RD Sharma Class 11 Maths Solutions Chapter 26 – Ellipse

The chapter contains one exercise with 76 questions. The important topics are:

• Fundamentals of ellipse
• Tracing of ellipse
• second focus
• second directrix
• focal distance of the point in ellipse
• General formula of Ellipse

## RD Sharma Class 11 Maths Solutions Chapter 27 – Hyperbola

The chapter contains one exercise with 71 questions and tracing of hyperbola is important. The important topics are:

• Eccentricity
• General Formula of Hyperbola

## RD Sharma Class 11 Maths Solutions Chapter 28 – Introduction to 3D coordinate geometry

It has 3 exercises and 84 questions. The coordinate space is determined by a point and vector perpendicular to that plane are discussed in this chapter. The 3D coordinates will comprise of X, Y, and Z coordinates.

This particular chapter consists of topics such as:

• Overview of the coordinate geometry studied
• Distance formula
• Theorems related to collinearity

## RD Sharma Class 11 Maths Solutions Chapter 29 – Limits

The chapter contains 11 exercises with 318 questions. RD Sharma solution for class 11 has all of these exercises explained for an easy learning process. The important topics are:

• Basic properties of limits
• Properties related to sum, difference, product, and quotient of limit
• Application of limits

## RD Sharma Class 11 Maths Solutions Chapter 30 – Derivatives

It contains 56 exercises and 108 questions. Derivatives are tools for calculus and are deemed as important. The important topics are:

• Basic formula of derivatives
• Application of derivatives
• Derivatives related to trigonometry
• Differentiating and integration
• Involving limits in derivatives

## RD Sharma Class 11 Maths Solutions Chapter 31 – Mathematical reasoning

It has 6 exercises with 108 questions to practice. Reasoning is the practical application of mathematics in the day to day lives. The important concepts are:

• Deductive reasoning
• Inductive reasoning
• Negation of a statement
• Components in a compound statement

## RD Sharma Class 11 Maths Solutions Chapter 32 – Statistics

The chapter has 7 exercises with 158 questions. This chapter deals with statistics and data related topics. The important topics are:

• Range
• Mean
• Median
• Mode
• Standard deviation
• Variance
• Coefficient
• Bar graphs
• Histogram
• Ogive

## RD Sharma Class 11 Maths Solutions Chapter 33 – Probability

There are 4 exercises and 158 questions in this chapter. It deals with probability of occurrence of any events out of the total number of events possible. This chapter is aimed at:

• Deterministic and random/probability experiments are important
• Theorems
• Concepts related to dices
• Concepts related to playing cards
• Concepts related to chance of occurrence of an event
• Involvement of Permutations and combinations