Question 30 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by Teachoo

Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b > 6}, then:

Question 30 Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b > 6}, then: (a) (2, 4) ∈ R (b) (3, 8) ∈ R (c) (6, 8) ∈ R (d) (8, 7) ∈ R
R = {(a, b): a = b − 2, b > 6}
Here (a, b) to be in relation
a = b – 2
b > 6
Both conditions should be satisfied
Checking options
Option A
(2, 4)
∴ a = 2 , b = 4
Here a = b – 2, as 2 = 4 – 2
But b should be greater than 6
Hence, option A is not correct
Option B
(3, 8)
∴ a = 3 , b = 8
But a ≠ b – 2
as 3 ≠ 8 – 2
Hence, option B is not correct
Option C
(6, 8)
∴ a = 6 , b = 8
Here a = b – 2 , as 6 = 8 – 2
& b > 6,
∴ (6, 8) ∈ R
Hence, option C is correct
Option D
(8, 7)
∴ a = 8 , b = 7
But a ≠ b – 2
as 8 ≠ 7 – 2
Hence, option D is not correct

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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