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Kc Sinha Mathematics Maths Class 12 Chapter 1 Relation Pdf

Kc Sinha Mathematics Class 12 Chapter 1 Relations are prepared and designed by the master teacher of Class 12 Mathematics of Divyastudy in brief. According to the syllabus of Class 12 Maths, Some chapters of maths of class 12 are very important for the board exam as well as According to the topper students of Bihar Board Exam; Kc Sinha Mathematics 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. You can check our article “Kc Sinha Solution Class 12 Maths PDF”.

As you know, Kc Sinha Mathematics 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 Mathematics Book of Class 11 in brief. All the questions of Kc Sinha Mathematics Class 12 Chapter 1 relations are not available in the free course.

Question No 1 (i) and (ii) Solutions of Kc Sinha Class 12 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.

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.

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