Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations
Class 12 Maths · Relations And Functions · Mcq Single Correct #93
Let \(m\) be a positive integer. On \(\mathbb Z\), define \(aRb\iff m\mid(a-b)\). Then \(R\) is
✅ Step-by-Step Solution
Final Answer: Option (D): Equivalence
- For a positive integer m, a congruent b means m divides a-b. Zero is divisible by m; negating or adding multiples of m preserves divisibility. Hence the relation is reflexive, symmetric and transitive.
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