Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations
Class 12 Maths · Relations And Functions · Mcq Single Correct #25
Let \(S\) be all real numbers. The relation \(R=\{(a,b):1+ab>0\}\) on \(S\) is
✅ Step-by-Step Solution
Final Answer: Option (A): Reflexive and symmetric but not transitive
- \(1+a^2>0\), and \(ab=ba\), giving reflexivity and symmetry. Transitivity fails: \(2R0\) and \(0R(-2)\), but \(1+2(-2)<0\).
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