Question

If R is a relation on the set A = {1, 2, 3, 4, 5, 6, 7, 8, 9} given by x Ry ⇔ y = 3x then R =

(A) {(3,1) , (6, 2) , (8, 2) (9, 3)}

(B) { (3,1) , (6, 2) , (9, 3) }

(C) { (3, 1) (2, 6) , (3, 9) }

(D) { (1, 3) , (2, 6) , (3, 9)}   

Answer 1

Correct option (D)

Explanation:

x = 1 ⇒ y = 3 

x = 2 ⇒ y = 6 

x = 3 ⇒ y = 9 

∴ R = {(1, 3) , (2, 6) , (3, 9)}