## Relations and Functions class 11 NCERT solutions

Hello Everyone, First of all welcome to all, Here you will understand the concepts of Relations and Functions chapter 2 of class 11. We are providing the best NCERT solutions for class 11 maths chapter 2 Relations and Functions Ex 2.1 Ex 2.2 Ex 2.3 and miscellaneous exercise.

These solutions are prepared in a way to ** understand the concepts with basics** so that students should not learn/mug up the concepts. Relations and Functions class 11 Notes have been prepared by HarMohit singh. (Subject Teacher)

**Real life Relations**

Starting with the Relations firstly we will see what are real life Relations. These Notes are Prepared by HarMohit singh. (SUBJECT TEACHER)

**NCERT solutions for class 11 maths chapter 2 Relations and Functions.
**

**Chapter 2 Exercise 2.1 class 11 maths**

Now we are starting Chapter 2 Exercise 2.1 class 11 Relations and Functions.

**Basics of Relations**

Starting with the Relations firstly we will understand the basics of Relations. Then after completing the whole concepts of Relations and its Exercise questions, we will start Basics of Functions. Relations and Functions class 11 Notes are Prepared by HarMohit singh. (SUBJECT TEACHER)

**Chapter 2 Exercise 2.2 class 11 maths**

Now we are starting Chapter 2 Exercise 2.2 class 11 Relations and Functions ncert solutions.

**Basics of Functions**

Now we will understand What are functions and Basics of Functions.

**Chapter 2 Exercise 2.3 class 11 maths**

Now we are starting Chapter 2 Exercise 2.3 class 11 Relations and Functions ncert solutions.

**Different Types of Functions and their Graphs**

1. Identity Functions

2. Constant Functions

3. Polynomial Functions

4. Modulus Function

5. Signum Function

6. Greatest Integer Function (GIF function)

**Chapter 2 Miscellaneous Exercise class 11 maths**

Now we are starting Relations and Functions Miscellaneous Exercise chapter 2 class 11 – Relations and Functions class 11 notes

**NCERT solutions for class 11 maths chapter 2 Relations and Functions**

**What are Relations?**

I will try to explain Maths Relations with real-life Relations.

Brother – Sister is a relation, Husband – Wife is also a relation, Father – Son is a relation too.

Similarly there are many relations in our real-life.

Now move towards maths Relations. It is a relation between two sets.

For example there are two sets A and B.

A = {1,2,3} and B = {3,4,5}

It is given that Relation from A to B is (x.y): addition of x,y is even and x belongs to A, y belongs to B.

Then the relation between set A and set B is

R = {(1,3), (1,5), (2,4), (3,3), (3,5)}

**What are Functions?**

Functions are the relations which specifies that there should be only one image/output for each element/input.

Suppose there are Sets M and N

M = {1, 2, 3} and N = {D, B, C, A}

Condition 1 : If all the elements in M have image in N set

Condition 2 : And If all the elements in set M have only single image

Then it is called a Function.

If either of the two conditions does not satisfies then it will be a relation only.

**NOTE: All Functions are Relations but all Relations are not Functions**

You can also say that Function is a subset of Relation.

NCERT solutions for class 11 Maths Chapter 1 SETS

NCERT solutions for class 11 Maths Chapter 2 Relations and Functions

NCERT solutions for class 11 Maths Chapter 3 Trigonometric Functions

NCERT solutions for class 11 Maths Chapter 4 Principle of Mathematical induction

NCERT solutions for class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations

NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations

NCERT solutions for class 11 Maths Chapter 8 Binomial Theorem

NCERT solutions for class 11 Maths Chapter 9 Sequences and Series

NCERT solutions for class 11 Maths Chapter 10 straight lines

NCERT solutions for class 11 Maths Chapter 11 Conic Sections

NCERT solutions for class 11 Maths Chapter 13 Limits and Derivatives

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