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Let S = Set of all children. Define R on...

Let S = Set of all children. Define R on S as follows: `a, b in S, aRb` if a and b have the same mother. Then

A

R is reflexive and symmetric only

B

R is reflexive and transitive only

C

R is symmetric and transitive only

D

R is an equivalence relation

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-EXERCISE (CONCEPT -BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS) )
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  3. Let S = Set of all children. Define R on S as follows: a, b in S, aRb ...

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  15. On Z, define R as follows: a, b in Z, aRb if 7|(a^(2) -b^(2)), then ...

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  16. Suppose R is a reflexive and transitive relation on a set A and let S ...

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  17. Let R1 and R2 be equivalence relations on a set A, then R1uuR2 may or ...

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