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

Answer: (A)

Reflexive but not symmetric

Answer 2

Since (1, 1); (2, 2); (3, 3) ∈ R therefore R is reflexive.

(1, 2) ∈ R but (2, 1) ∉ R, therefore R is not symmetric. It can be easily seen that R is transitive.