Question

The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is

• A. Reflexive but not symmetric
• B. Reflexive but not transitive
• C. Symmetric and Transitive
• D. Neither symmetric nor transitive

Answer 1

The correct option is A

Reflexive but not symmetric

Since (1,1); (2,2); (3,3) $\in$ R therefore R is

reflexive . (1,2) $\in$ R but (2,1) $\notin$ R , therefore R is

not symmetric . It can be easily seen that R is

transitive.