DM-Sets,Relations and Functions-Q12

Question

Let denote a relation on the set of all ordered pairs of positive integers by if and only if . Which of the following is true?

(A). is a partial order relation

(B).  is an equivalence relation

(C). is neither partial order relation nor equivalence relation

(D). is an antisymmetric relation

Answer 1

So correct Answer is B

Answer 2

B is correct one.

Comments

can anyone provide an expalnation, i couldnt visualise because of the ordered pair.

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Can you please explain why is it symmetric? for example (1,2) and (2,1)

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here,ordered pair present in relation does not contain single elements,instead of that it contains ordered pairs inside of that ordered pair,                                                 for eg.,if relation is {((a,b),(c,d)),((c,d),(a,b))},it is symmetric                                                           since in first pair ,ad=bc                                                                                                    ..in second pair also,bc=ad..        
such that both are present in relation and hence it is symmetric.