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

For Reflexive

$R \in\{(1,1)(2,2)(3,3)\}$

For symmetric $(1,2) \in R$ but $(2,1) \notin R$ Not symmetric

for transitive $(1,2),(2,3) \in R \Rightarrow(1,3) \in R$ so transitive

Above Correct Answer is Option A.