If a relation R on the set {1, 2, 3} be defined by R={(1, 1)... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If a relation R on the set {1, 2, 3} be defined by R={(1, 1)}, then R is

A

Reflexive and symmetric

B

Reflexive and transitive

C

symmetric and transitive

D

Only symmetric

Answer

symmetric and transitive

Explanation

Solution

$R= \\{(1,1)\\}$ on set $\\{1,2,3\\}$
Clearly, $R$ is symmetric and transitive.