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Let n be a fixed positive integer. Define a relation R on the set Z of integers by,
$aRb \Leftrightarrow n |a - b| .$ Then R is

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not Reflexive

Not Symmetric

Not Transitive

Equivalence

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Correct option is D

It is obvious.

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Let n be a fixed positive integer. Define a relation R on the set Z of integers by, aRb⇔na-b. Then R is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Let n be a fixed positive integer. Define a relation R on the set Z of integers by,
$aRb \Leftrightarrow n |a - b| .$ Then R is