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The relation R={(1,1),(2,2),(3,3),(1,2),...

The relation `R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}` on a set A={1, 2, 3} is

A

A. Reflexive but not symmetric

B

B. Reflexive but not transitive

C

C. Symmetric and transitive

D

D. Neither symmetric nor transitive

Text Solution

Verified by Experts

The correct Answer is:
A
As `(1,1),(2,2),(3,3) in R, R ` is reflexive
As `(1,2) in R` but `(2,1) notin R, R` is not symmetric
It can be easily seen that R is transitive
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