CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

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 Sept. 4, 2021 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

Advertisement

CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.