Which of the following relations on the set A ={1, 2, 3} are equivalence ?

(A) R = {(1, 1), (2, 2), (1, 2), (2, 1)}

(B) R = {(1, 1), (2, 2), (3, 3)}

(C) R = {(1, 1), (1, 2), (2, 1)}

(D) R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (2, 3), (3, 2), (1, 3), (3, 1)}

(E) R = {(1, 1), (2, 2), (3, 3), (1, 2)}

Choose the correct answer from the options given below :

(A) and (B) only

Equivalence relation -

Reflexive = x e A (x, x) ∈ A

Symmetric = (a, b) ∈ A  (b, a) ∈ A

Transitive = (a, b) & (b, a) ∈ A, (a, c) ∈ A

Option A & B are correct.

A ⇒ R = {(1, 1), (2, 2), (1, 2), (2, 1)}

B ⇒ R = {(1, 1), (2, 2), (3, 3)}