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Let R be a relation on the set of intege...

Let `R` be a relation on the set of integers given by `a R b :-a=2^kdotb` for some integer `kdot` Then `R` is:- (a) An equivalence relation (b) Reflexive but not symmetric`` (c). Reflexive and transitive but not symmetric`` (d). Reflexive and symmetric but not transitive

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Let S be the set of all real numbers. Then the relation R:- {(a ,b):1+a b >0} on S is: (a)an equivalence relation (b)Reflexive but not symmetric (c)Reflexive and transitive (d) Reflexive and symmetric but not transitive

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R is a relation on the set Z of integers and it is given by (x ,\ y) in RhArr|x-y|lt=1. Then, R is (a) reflexive and transitive (b) reflexive and symmetric (c) symmetric and transitive (d) an equivalence relation

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