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Question

Let P = {(x,y) x2+y2=1,x,yR}. Then P is.


A

Reflexive

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B

Symmetric

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C

Transitive

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D

Anti-symmetric

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Solution

The correct option is B

Symmetric


Here we can see that the relation is neither reflexive nor transitive but it is symmetric,

because x2+y2=1y2+x2=1


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