Let `R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9(,(3,12),(3,6)}` be relation on the set `A={3,6,9,12}`. The relation is-

Options

A. an equivalance relation
B. relflexive and symmetric
C. reflexive and transitive
D. only reflexive

Answer

C

Explanation

R is reflexive as (3,3) , (6,6) (9,9) (12,12) ` in R`. R is not symmetric as (6,12) ` in ` R but (12,6) `cancel(in)` R. R is transtive as the only pair which needs verification is (3,6) and ( 6,12) ` in ` R
` Rightarrow (3,12) in R`