Let a relation R? in the set R of real number be defined as \[(a,b)\in R'\] if and only if \[1+ab>0\] for all\[a,\,b\in R\text{ }\]. Which of the following options is correct for relation R |
A) Reflexive and symmetric but not transitive.
B) Reflexive and transitive but not symmetric.
C) Transitive and symmetric but not reflexive.
D) An equivalence relation.
Correct Answer: A
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