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

 

This question is inspired from Ex 1.1, 16 (MCQ) - Chapter 1 Class 12 - Relation and Functions

Ques 30 (MCQ) - Let R be the relation in the set N given by - Class 12 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

part 2 - 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 - Class 12
part 3 - 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 - Class 12

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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

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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 and Computer Science at Teachoo