Let A= 1,2,3 and consider the relation R= (1,1),(2,2),(3,3),(1,2)… - Vidyadip

MCQ

Let $A=\{1,2,3\}$ and consider the relation $R=\{(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)\}$. Then $R$ is

✓
reflexive but not symmetric
B
reflexive but not transitive
C
symmetric and transitive
D
neither symmetric nor transitive

✓

Answer

Correct option: A.

reflexive but not symmetric

(a) : $(1,1),(2,2),(3,3) \in R$
$\therefore \quad R$ is reflexive but it is not symmetric.
Also, $R$ is transitive.

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