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Question

Let A={1,2,3} and R={(1,1),(1,3),(3,1),(2,2),(2,1),(3,3)}
then the relation R on A is

A
reflexive but not symmetric
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B
symmetric but not transitive
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C
transitive but not reflexive
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D
equivalence relation
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Solution

The correct option is A reflexive but not symmetric
The relation is reflexive as

(1,1),(2,2),(3,3)R

(2,1)R will not imply (1,2)R,

hence R is not symmetric

(2,1),(1,3)R doesn't imply (2,3)R, hence R is not transitive

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