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Let R be a relation defined on the set o...

Let `R` be a relation defined on the set of natural numbers `N` as `R={(x ,\ y): x ,\ y in N ,\ 2x+y=41}` Find the domain and range of `R` . Also, verify whether `R` is (i) reflexive, (ii) symmetric (iii) transitive.

A

`rho` is equivalence relation

B

`rho` is only reflexive relation

C

`rho` is only symmetric relation

D

`rho` is not transitive

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The correct Answer is:
D
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