Question

A relation R on set A = {1, 2, 3} defined as R = {(1, 1), (2, 2), (1, 2)} is ______.

Options

• Reflexive only

• Reflexive and Transitive

• Symmetric and Transitive

• Transitive only

Answer 1

A relation R on set A = {1, 2, 3} defined as R = {(1, 1), (2, 2), (1, 2)} is transitive only.

Explanation:

Given: 

Set A = {1, 2, 3} 

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

Reflexive = (1, 1), (2, 2), (3, 3)

Symmetric = (1, 2) ∈ R

(2, 1) ∉ R

Transitive = (1, 1) (1, 2) ∈ R