# NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.4

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 Board for 2020-21.

These solutions and apps are for the students of boards whoever following the Updated NCERT Books for their 2020-21 exams.## NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.4

Class: | 12 |

Subject: | Maths |

Chapter 1: | Exercise 1.4 |

### 12th Maths Exercise 1.4 Solutions

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 for academic session 2020-2021. All NCERT solutions are updated as per the current & latest CBSE Syllabus. Download NCERT Books 2020-21 based on latest CBSE Curriculum. Join the discussion forum to ask your questions related to NIOS or CBSE Board.

### Exercise 1.4 Solutions in Hindi & English

#### 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

1. A binary operation ‘*’ defined on set A is a function from A × A→A. *(a, b) is denoted by a * b.

2. Binary operation * defined on set A is said to be commutative iff a * b = b *a ∀ a, b ∈ A.

3. Binary operation*defined on set A is called associative iff a*(b * c) = (a * b) * c ∀ a, b, c ∈ A.

4. 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.

Download NCERT Books and Offline Apps 2020-21 based on new CBSE Syllabus. Ask your doubts related to NIOS or CBSE Board and share your knowledge with your friends and other users through Discussion Forum.