# NCERT Solutions for Class 11 Maths Chapter 2 – Relations and Functions NCERT Solutions for Class 11 Maths Chapter 2: Are you thinking about the ways to prepare for the Class 11 Annual Exam? Yes. Have you heard about the new techniques which your classmates are applying to shape their methods of preparation? No. You don’t need to worry because in this blog we will be telling you about the new techniques which will help you to score good marks in the Maths final exam.

Today we are concentrating on the interesting aspects of following Class 11 Maths NCERT Solutions Chapter 2. When you read the sections you will understand the significance of purchasing NCERT Solutions For Class 11 Maths Chapter 2.

## NCERT Solutions for Class 11 Maths Chapter 2 – Relations and Functions

Each section has been shaped to fulfill your requirements. In this blog, you will get an idea of the NCERT Chapter 2 Solutions along with the benefits. You will also see exercise wise / topic wise explanations as you focus on the contents of the blog. You can get Class 11 Maths Chapter 2 Solutions PDF files from your classmates or relatives

Experts have created the 11th Maths Chapter 2 Solutions by following CBSE guidelines. They have covered all exercise-wise questions. Here you will find the step by step guide on every solution. You can easily clear all the concepts behind the chapter.

You can download CBSE NCERT Solutions for Class 11 Maths Chapter 2 from below.

## What will you learn in NCERT Class 11 Maths Chapter 2 – Relations and Functions?

The second chapter from the NCERT textbook tries to focus on the relations and functions which are usually found among different figures and numbers. The relation we re talking about here concentrates on the pairing of the object in a certain manner. You have collected some useful information on relations and now we will tell you about the next part i.e., Functions. It talks about the exact correspondence among one quantity with others.

When you buy NCERT Solutions for Class 11 Maths Chapter 2 – Relations and Functions you will be in a position to understand the meaning of cartesian product, equality of 2 ordered pairs, number of elements, operations on sets and cartesian product, relations – definition, finding relation – set-builder form given, arrow depiction given, number of relations, functions – definition, finding values at certain points, different functions and their graphs, finding domain and range – by drawing graphs, by general method, algebra of real functions. Each section has been explained by the experts in an effective way.

When you examine the contents you will be confident enough to handle all kinds of questions from this chapter. The experts have given equal importance to all the sections and they have presented the solutions as per the new CBSE syllabus. You will get all the answers of the questions(from Chapter 2) here. We will now discuss the subtopics which fall under the second chapter of NCERT solutions.

#### CBSE Class11  Maths NCERT Solution Chapter 2 Topic-Wise Listing

You will come across the questions from the following sub topics in the NCERT solutions-

Here are the topics/ subtopics of the chapter:

• 2.1 Introduction
• 2.2 Cartesian Products of Sets
• 2.3 Relations
• 2.4 Functions

#### NCERT Solutions For Class 11 Maths Chapter 2 Exercise-wise listing

There are a total of 3 exercises along with miscellaneous exercise. Here is the number of

questions which you can expect from each exercise.

• Exercise 2.1 carries 11 questions with solutions
• Exercise 2.2 carries 9 questions with solutions
• Exercise 2.3 carries 5 questions.with solutions
• The miscellaneous exercise consists of 12 questions with solutions

### CBSE Class 11 Maths NCERT Solutions Chapter 2 Exercise 2.1

The NCERT Solutions For Class 11 Maths Chapter 2 Exercise 2.1 has all kinds of questions along with solutions which are related to the important aspects of Relations And Functions. The students will get the complete picture after exploring the contents of all solutions. It will play an important role in prepare them for the final exam. The topics are based on-

1. Introduction to Relations And Functions i.e., Px Q = { (p,q): pE P, qEQ} If either Por Q is the null set, then P x Q will also be an empty set.
1. Cartesian Product of Sets: Given two non-empty sets P and Q. The cartesian product P x Q is the set of all ordered pairs of elements from P and Q,

### CBSE Class 11 Maths NCERT Solutions Chapter 2 Exercise 2.2

NCERT Solutions For Class 11 Maths Chapter 2 Exercise 2.2 is totally based on the questions which are associated with Relations. The solutions will clear the basic concepts which will be required to solve questions based on this topic. The students will get to know about various interesting points from the NCERT textbook which will help to try new techniques. Here the sections which has been covered here-

• A relation R from a non-empty set A to a non empty set B is a subset of the cartesian product A x B. The subset is derived by describing the relationship between the first element and the second element of the ordered pairs in A x B. The second element is called the image of the first element.
• The set of all first elements of the ordered pairs in a relation R from a set A to a set B is called the domain of the relation R.
• The set of all second elements in a relation from a Set A to a set B is called the range of the relation R. The whole set B is called the codomain of the relation R. Note that range C codomain.
• A relation may be represented algebraically either by the Roster method or by the Set builder method.
• An arrow diagram is a visual representation of a relation.

Class 11 Maths NCERT Solutions Chapter 2 Exercise 2.3

The solutions from this part have been placed with examples and for this reason you need to purchase the NCERT textbook. You will have clarity the way the answers have been structured. The experts have dealt with the topics with extra care for the benefit of the students. The solutions which have been prepared are based on the following topics:

• Functions
• Some functions and their graphs
• Identity function
• Constant function
• Polynomial function
• Rational functions
• The Modulus function
• Signum function
• Greatest integer function
• Algebra of real functions
• Addition of two real functions
• Subtraction of a real function from another
• Multiplication by a scalar
• Multiplication of two real functions
• The quotient of two real functions

You can Download NCERT Solutions For Class 11 Maths Chapter 2 Exercise 2.3 for better understanding.

### NCERT Solutions For Class 11 Maths Chapter 2 Miscellaneous Exercise

The miscellaneous exercise consist of complex questions and over there you will come across different kinds of answers which will help you to score good marks in Maths. The solutions have been shaped in a way which will be easier to digest. The topics will become crystal clear when you start practicing the questions from the NCERT textbook. The parts which have been covered here are-

• Cartesian Product of Sets
• Relations
• Functions
• Some functions and their graphs b. Algebra of real functions

## Theorems and formulas used in CBSE Class 11 Maths Chapter 2 – Relations and Functions

• The two elements which are grouped in particular order are termed as ordered pair.
• Cartesian product A x B of two sets A and B is given by A x B = {(a, b): a E A, bE B}
• Relation R from a set A to a set B is a subset of the cartesian product A x B obtained by explaining the relationship between the first element x and the second element of the ordered pairs in A x B.
• The image of an element x under a relation R Is given by y, where (x, y) E R.
• The domain of R is the set of all first elements of the ordered pairs in a relation R.
• The range of a relation R is the set of all second elements of the ordered pairs in a relation R.
• Function A from a set A to a set B is a specific type of relation for which every element x of set A has one and only one image y in set B. We write f: A-B, where f(x) = y.
• The range of the function is the set of images.
• A real function has the set of real numbers or one of its subsets both as to its domain and as its

## Advantages of following NCERT Solutions Class 11 Maths Chapter 2

When you focus on the NCERT solutions you will know about the benefits of following solutions based on Chapter 2 Maths Class 11. You will get enough reasons to buy NCERT solutions when you observe the contents of the solutions. Here are some of the benefits. After completing the syllabus you check it.

• NCERT solutions for Chapter 2 CBSE Class 11 Maths can help you to bring change in your methods of preparation.
• After analyzing the contents of the NCERT solutions you will be in a position to design your study materials. You will get new ideas to shape your study materials.
• Going through the important questions NCERT Chapter 2 Solutions is a must if you really want some clarity in relation to the topics. All the topics will be easier for you to understand if you explore the contents of Solutions NCERT carefully
• You will be able to come up with an effective strategy after you examine the NCERT solutions on a regular basis.
• You will be able to appear for your Maths exam with a better plan if you keep the important points from the solutions in your mind.
• You will be able to complete your homework and other work with full confidence when you follow the solutions.

We have covered the complete guide on CBSE NCERT Solutions for Class 11 Maths Chapter 2 – Relations and Functions. Feel free to ask us any questions in the comment section below.

### 2 thoughts on “NCERT Solutions for Class 11 Maths Chapter 2 – Relations and Functions”

1. Thanks a lot for this content and increase my knowledge

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