# Kc Sinha Solutions Mathematics Class 12 Chapter 1 Relation Pdf

Page Contents

Kc Sinha Mathematics Class 12 Chapter 1 Relation Solutions are prepared by the teacher of Class 12 Mathematics in brief. According to the Class 12 Maths syllabus, Some chapters of class 12th maths are very important for the board exam. According to the topper students of Bihar Board Exam, Kc Sinha Maths Book is very important for board students. If you want to learn the topics and subtopics of every chapter of Class 12 Kc Sinha Mathematics Book in brief. You can check our article “Kc Sinha Solution Class 12 Maths PDF Part 1”.

As you know, Kc Sinha Maths Class 12 Chapter 1 is the Relations chapter. Let me say to you that the relations chapter is difficult to read without a set theory. So, I am telling to you that you should learn the set theory of Kc Sinha Class 11 Maths Book in brief. All the questions of Kc Sinha Mathematics Class 12 Chapter 1 relation solutions are not available in the free course.

## Kc Sinha Class 12 Chapter 1 Relation

Question No 1 (i) and (ii) Solution of Kc Sinha Class 12th Mathematics Chapter 1 are following

(i) Let A = {1, 9}, B = {5, 13} and R = {(a, b) : a ∈ A, b ∈ B and a — b is divisible by 4. Show that R is an universal relation from A to B.

As we know, in this question R is written in the set builder form. So, first of all, I write the possible form of set A to set B is in the roaster form. A × B = {(1, 5), (1, 13), (9, 5), (9, 13)}. In the roaster form of A × B, you can see that R is a universal relation. So, you can say R is a universal relation on A × B.

(ii) Let A = {1, 5}, B = {3, 7} and R = {(a, b) : a ∈ A, b ∈ B and a — b is divisible by 4. Show that R is an empty relation from A to B.

As we know, in this question R is written in the set builder form. So, first of all, I write the possible form of set A to set B is in the roaster form. A × B = {(1, 3), (1, 7), (5, 3), (5, 7)}. In the roaster form of A × B, you can see that R is an empty relation. So, you can say R is an empty relation on A × B.

### Class 12 Maths Relation Chapter Solution

Let A be the set of all students of a boys school. Show that the relation R in A given by

(i) R = {(a, b) : a is sister of b} is empty relation in A.
(ii) R’ = {(a, b): the difference between heights of a and b is less than 3 metres} is the universal relation in A.

(i) The relation R is an empty relation because all elements of set A are boys. In that case, a is not the sister of b because a and b both are boys. So, you can say R is an empty relation on A.

(ii) The relation R is a universal relation because the difference between heights of a and b is less than 3 metres. It is possible. So, you can say R is a universal relation on A.

error: Hello | Don\\\'t Copy | Make your own article |