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Q.

If R={(x,y):x is father of y}, then R is 

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a

reflexive but not symmetric

b

symmetric and transitive

c

neither reflexive nor symmetric nor transitive

d

Symmetric but not reflexive

answer is C.

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Detailed Solution

Here, R is not reflexive; as x cannot be father of x, for any x, R is not symmetric as if x is father of y, then y cannot be father of x. R is not transitive as if x is father of y and y is father of z, then x is grandfather (not father) of z.

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