Let R be the relation in the set N given by R = {(a, b) : a = b - 2, b > 6}. Choose the correct answer.
A. (2, 4) ∈ R   B. (3, 8) ∈ R   C. (6, 8) ∈ R   D. (8, 7) ∈ R

Solution:

R = {(a, b) : a = b - 2, b > 6}

Now,

b > 6, (2, 4) ∉ R

Here ∉ represents 'does not belongs to'

3 ≠ 8 - 2

Therefore,

(3, 8) ∉ R and as 8 ≠ 7 - 2

Therefore,

(8, 7) ∉ R

Consider (6, 8)

8 > 6 and 6 = 8 - 2

Therefore,

(6, 8) ∈ R

The correct answer is C

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NCERT Solutions for Class 12 Maths - Chapter 1 Exercise 1.1 Question 16

Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b > 6}. Choose the correct answer. (A) (2, 4) ∈ R (B) (3, 8) ∈ R (C) (6, 8) ∈ R (D) (8, 7) ∈ R

Summary:

Given that R be the relation in the set N given by R = {(a, b) : a = b – 2, b > 6}.After verifying all the options, the correct answer is option C i.e (6, 8) ∈ R