Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations
Class 12 Maths · Relations And Functions · Mcq Single Correct #57
Let \(R\) be the relation on \(\mathbb{R}\) defined by \(aRb\) if \(|a-b|\le1\). Then \(R\) is
✅ Step-by-Step Solution
Final Answer: Option (A): Reflexive and symmetric
- \(|a-a|=0\le1\) and \(|a-b|=|b-a|\). Transitivity fails since \(1R2\) and \(2R3\), but not \(1R3\). Antisymmetry fails for 0 and 1.
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