Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations
Class 12 Maths · Relations And Functions · Mcq Single Correct #125
On \(\mathbb Z\), define \(aRb\iff a^2-7ab+6b^2=0\). Then R is
✅ Step-by-Step Solution
Final Answer: Option (D): Reflexive but not symmetric
- The equation factors as (a-b)(a-6b)=0, so a=b or a=6b. Diagonal pairs occur; (6,1) occurs but (1,6) does not. Thus it is reflexive but not symmetric.
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