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Home » 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
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
CBSE | Class 12 | Exercise 1.1 | Maths | NCERT | Relations and Functions
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}

(A) Incorrect : Value of b = 4, false.

(B) Incorrect : a = 3 and b = 8 > 6

a = b – 2 => 3 = 8 – 2 and 3 = 6, which is bogus.

(C) Correct: a = 6 and b = 8 > 6

a = b – 2 => 6 = 8 – 2 and 6 = 6, which is valid.

(D) Incorrect : a = 8 and b = 7 > 6

a = b – 2 => 8 = 7 – 2 and 8 = 5, which is false.

Thusly, alternative (C) is right.

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