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Let R={(3,3),(6,6),(9,9),(12,12),(6,12),...

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-

A

an equivalence relation

B

reflexive and symmetric

C

reflexive and transitive

D

only reflexive

Text Solution

Verified by Experts

The correct Answer is:
C
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) `!in` R. R is transitive as the only pair which needs verification is (3, 6) and (6, 12) `in` R.
`implies" "(3, 12)inR`
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