Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations
Class 12 Maths · Relations And Functions · Mcq Single Correct #48
On \(\mathbb{N}\), define \(aRb\) if and only if \(\gcd(a,b)=2\). Then \(R\) is
✅ Step-by-Step Solution
Final Answer: Option (B): Symmetric only
- GCD is symmetric. Reflexivity fails since \(\gcd(1,1)=1\). Transitivity fails: \(\gcd(6,4)=\gcd(4,18)=2\), but \(\gcd(6,18)=6\).
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