NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.4 Relations and Functions in Hindi Medium as well as English Medium for CBSE students as well as UP Board, MP Board, Bihar, Uttarakhand, whoever following the Updated NCERT Books for their 2018-19 exams.

## NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.4

### Class 12 Maths Chapter 1 Exercise 1.4 Sols in English

NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.4 Relations and Functions in English medium free to download as well as use it online. All solutions are updated as per the current & latest CBSE Curriculum 2018-19. Click here to go back to Class 12 Maths Chapter 1 all exercises or go for Hindi Medium Solutions, if you want to see the solutions in Hindi.

### Class 12 Maths Chapter 1 Exercise 1.4 Sols in Hindi

NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.4 Relations and Functions in Hindi Medium free to use. Solutions of each question is done properly step by step, if still there is error or difficulty in steps, please inform us we will re-upload the solutions after the needful done. Click here to go back to Class 12 Maths Chapter 1 all exercises or go for English Medium solutions, if you want to change the medium of solutions as English.

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#### About 12 Maths Exercise 1.4

Class 12 Maths Chapter 1 Exercise 1.4 Relations and Functions contains the questions based on binary operation. All the questions are based on concepts only. These are easier to understand or explanation. Here we have to prove whether the Binary Operation is commutative or Associative and existence of identity elements. Questions in this exercise are little bit different what you have done in Exercise 1.1 or Exercise 1.3.

##### Binary Operation

- A binary operation ‘*’ defined on set A is a function from A × A→A. *(a, b) is denoted by a * b.
- Binary operation * defined on set A is said to be commutative iff a * b = b *a ∀ a, b ∈ A.
- Binary operation*defined on set A is called associative iff a*(b * c) = (a * b) * c ∀ a, b, c ∈ A.
- If * is Binary operation on A, then an element e ∈ A (if exists) is said to be the identity element iff a*e = e*a = a ∀a ∈ A.

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