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Q.

Let P=(x,y)∣x2+y2=1,x,y∈R . 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,y∈R 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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