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If A={a ,\ b ,\ c} , then the relation R...

If `A={a ,\ b ,\ c}` , then the relation `R={(b ,\ c)}` on `A` is (a) reflexive only (b) symmetric only (c) transitive only (d) reflexive and transitive only

A

reflexive only

B

symmetric only

C

transitive only

D

reflexive and transitive only

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly, R is not reflexive, because (a, a), (b, b), (c, c) `cancelin` R.
R is not symmetric because `(b, c) in R` but `(c, b) `cancelin` R.
However, R is a transitive relation on set A.
Hence, option (c ) is correct.
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