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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

reflexive and symmetric

B

an equivalence relattion

C

reflexive only

D

reflexive and transitive

Text Solution

Verified by Experts

The correct Answer is:
D
Since, (3, 3), (6, 6), (9, 9), (12, 12) `in` R
`implies ` R is reflexive.
Now, (6, 12) `in` R but (12, 6) `!in R implies R` is not symmetric.
Also, (3, 6), (6, 12) `in` R
`implies" "(3, 12)in" R"`
So, R is transitive.
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