NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions - PDF Download

eSaral Academic and Editorial Team
Summary
NCERT Solutions for Class 11 Maths Chapter 2 — Relations and Functions — cover all 36 questions across three exercises and one miscellaneous exercise. These solutions explain Cartesian products, domain, codomain, range, and types of functions with step-by-step working. The free PDF is prepared by experienced faculty and follows the latest CBSE syllabus.
eSaral › JEE› NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions - PDF Download

The NCERT solutions for class 11 mathematics chapter 2 Relations and Functions provides a comprehensive overview of the fundamental concepts used in the study of algebra. A relation represents a collection of ordered pairs, while a function represents the relations between input and output. NCERT solutions for class 11 Maths chapter 2 explains all the fundamental concepts related to relations and functions using examples. With these solutions, you will be able to gain a thorough understanding of this topic and its practical application. In this chapter, there are a number of definitions and Theorems to remember and apply to questions. Before solving equations and theorems, students need to have a good understanding of relation and function. To have a good conceptual knowledge about chapter 2, students will need to be familiar with sets.
NCERT solution is written by highly experienced teachers of eSaral who are really well-versed in the subject. They have explained every answer in a simple manner. It's a great way for class 11 students to get a better understanding of Relations and Functions. There are lots of examples before the exercise questions in the textbook to help you see how to use the methods to solve the problems. By downloading NCERT solutions for class 11 maths chapter 2 free PDF students can gain a better understanding of the relevant concepts.
Important Topics covered in Chapter 2 - Relations and Functions
In the NCERT solutions, each topic is explained in detail to make it easier to understand Relations and Functions. Below are some important topics explained in NCERT solutions.
2.1 Introduction | |
2.2 Cartesian products of sets | |
2.3 Relations | |
2.4 Functions | 2.4.1 Some functions and their graphs 2.4.2 Algebra of real functions |
2.1 Introduction - In this section, you’ll learn about the concepts used in the chapter “Relations and Functions”.
2.2 Cartesian Products of sets - This section explains what a Cartesian product is and what ordered pairs are by the representation of the real-life model.
2.3 Relations - This section provides a description of how set A is mapped to set B, along with a few solved questions. It also provides definitions of domain and codomain.
2.4 Functions
2.4.1 Some functions and their graphs
2.4.2 Algebra of real functions
NCERT Solutions for Class 11 Maths Chapter 2 Exercises
NCERT Solutions provided by our subject matter experts at eSaral are a great help for students who want to understand and master chapter 2. Here, we will explore NCERT Solutions for class 11 maths chapter 2 exercises and how they can help students understand and master basic concepts of Relations and Functions.
Exercise 2.1 | 10 Questions & Solutions |
Exercise 2.2 | 9 Questions & Solutions |
Exercise 2.3 | 5 Questions & Solutions |
Miscellaneous Exercise | 12 Questions & Solutions |
Benefits of Downloading The NCERT Solutions for Class 11 Maths Chapter 2- Relations and Functions
Chapter 2 of class 11 mathematics NCERT textbook concentrates on the fundamental concept of Relations and Functions. To gain a thorough understanding of this chapter and its complexities, students can benefit greatly from downloading Class 11 NCERT Solutions. Here are some of the primary benefits of doing so:
- All of these questions have been carefully prepared and detailed, so you will find them easy to understand.
- These NCERT Solutions will help students get rid of their doubts, so they can be better prepared for the exam.
- The sums solved in these NCERT Solutions provide a proper step-by-step explanation to help students to comprehend how to solve equations.
- NCERT solutions for class 11 chapter 2 can be used by students to evaluate their progress and determine areas of improvement.
- These NCERT Solutions enable students to progress through their concepts much more expeditiously.
Frequently Asked Questions
What are Relations and Functions in Class 11 Maths Chapter 2?
A relation is a set of ordered pairs connecting elements of two sets. A function is a special relation where every input element maps to exactly one output element. Chapter 2 covers Cartesian products, domain, codomain, range, types of functions, their graphs, and the algebra of real functions — all aligned with the current CBSE syllabus.
What is the difference between domain, codomain, and range?
The domain is the set of all valid inputs for a function. The codomain is the full set from which outputs are drawn. The range is the subset of the codomain that actually appears as outputs. For example, if f: A → B, then A is the domain, B is the codomain, and f(A) ⊆ B is the range
What is the Cartesian product of two sets?
The Cartesian product A × B is the set of all ordered pairs (a, b) where a belongs to set A and b belongs to set B. If set A has m elements and set B has n elements, then A × B has m × n elements. This concept is fundamental to understanding relations and coordinate geometry.
How can I score full marks in Chapter 2 board exam questions?
To score full marks: write every step of your working clearly, state the domain and range explicitly when asked, use correct set notation, and verify your answer by checking whether the relation satisfies the definition of a function. Practising all 36 NCERT questions — including the Miscellaneous Exercise — is the most reliable preparation method.

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eSaral Academic and Editorial Team
Team eSaral is the collective author profile for educational content created by eSaral’s teachers and academic contributors. The team draws on expertise from IIT graduates, doctors, experienced educators and subject specialists to develop resources for JEE, NEET and school students. Our articles aim to explain concepts clearly and help students study with confidence.
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