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Class 12 Relations And Functions · Assertion Reason1 Markstypes_of_functions

Class 12 Maths · Relations And Functions · Assertion Reason #147

Assertion: On \(\mathbb Z\), \(aRb\iff2\mid(a-b)\) is an equivalence relation. Reason: For integers a,b,c: 2 divides a-a; divisibility of a-b implies divisibility of b-a; divisibility of a-b and b-c implies divisibility of a-c.

✅ Step-by-Step Solution

Final Answer: Option (A): Both A and R are true, and R correctly explains A.
  1. The three checks are exactly reflexivity, symmetry and transitivity.

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