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Q.

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

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a

 Reflexive 

b

 Symmetric 

c

 Transitive 

d

Anti-symmetric 

answer is B.

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Detailed Solution

 P=(x,y)x2+y2=1,x,yR Obviously P is not reflexive, because (1,1) is not an element of R If (x,y) is an element of P then (y,x) also an element of P So, P is symmetric  (0,1), (1,0) are elements of P but (0,0) is not an element of P So that the relation P is not transitive Hence, the relation P is not reflexive, symmetric, not Transitive.  Therefore, the 2nd option is correct

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