A) reflexive only
B) reflexive and symmetric only
C) transitive only
D) equivalence
Correct Answer: B
Solution :
For every (a, a) \[\Rightarrow \,1+{{a}^{2}}\,>0,\]where\[a\in R\]. \[\therefore \]Relation is reflexive. Also if \[(a,b)\Rightarrow \,1+ab>0\] Then (b, a) will also satisfy \[1+ba>0.\] \[\therefore \]Relation is symmetric also. But \[\left( 1,\frac{-1}{2} \right)\in P,\left( \frac{-1}{2},-10 \right)\in P\] and \[(1,-10)\notin P.\] \[\Rightarrow \]Relation is not transitive.You need to login to perform this action.
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