# 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 2021-2022.

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

• ### Class 12 Maths Exercise 1.4 Solutions in Hindi & English

 Class: 12 Maths (English and Hindi Medium) 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 2021-2022. All NCERT solutions are updated as per the current & latest CBSE Syllabus. Download NCERT Books 2021-22 based on latest CBSE Curriculum. Join the discussion forum to ask your questions related to NIOS or CBSE Board.

#### Class 12 Maths Exercise 1.4 Solution in Videos

Class 12 Maths Exercise 1.4 Solution in English
Class 12 Maths Exercise 1.4 Solution in Hindi

#### 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.

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##### Is exercise 1.4 of class 12th Maths complicated?

Exercise 1.4 of class 12th Maths is not easy and not complicated. It lies in the mid of easy and complicated because some examples and questions of this exercise are easy, and some are complex. However, the difficulty level varies from child to child. So, exercise 1.4 of class 12th Maths is easy, or tough depends on children also. Some children find it difficult, some find it easy, and some find it in the middle of easy and difficult.

##### How many days are needed to complete exercise 1.4 of grade 12th Maths?

If students can give 2 hours per day to exercise 1.4 of class 12th Maths, they need 3-4 days to complete exercise 1.4 of 12th Maths. This time is an approximate time. This time can vary because no students can have the same working speed, efficiency, capability, etc.

##### Which problems of exercise 1.4 of 12th Maths can come in 1st Term Board Exams?

Exercise 1.4 of class 12th Maths has 12 examples (examples 29 to 40) and 13 questions. All the problems of exercise 1.4 are equally important from the exam point of view. Students should practice all examples and questions of this exercise for the exams because any example and any question can come from this exercise in the board exams.

##### On which concept questions of exercise 1.4 of class 12th Maths are based?

Questions of exercise 1.4 of class 12th Maths are based on the concept named Binary Operations. In exercise 1.4, students study all about binary operations. This exercise is interesting.              