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Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations

Class 12 Maths · Relations And Functions · Mcq Single Correct #54

Let \(R\) be the relation on \(\mathbb{N}\) defined by \(nRm\iff n\mid m\), meaning that \(n\) is a factor of \(m\). Then \(R\) is

✅ Step-by-Step Solution

Final Answer: Option (D): Reflexive, transitive but not symmetric
  1. Divisibility satisfies \(n\mid n\), and \(n\mid m\), \(m\mid p\) imply \(n\mid p\). It is not symmetric: \(2\mid6\), but \(6\nmid2\).

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