A) Reflexive and symmetric but not transitive
B) Symmetric and transitive but not reflexive
C) Reflexive and transitive but not symmetric
D) Equivalence relation
Correct Answer: D
Solution :
[d] R is reflexive as \[{{h}_{1}}R{{h}_{1}}\] (\[{{h}_{1}},{{h}_{1}}\] have same pair of asymptotes) R is symmetric as \[{{h}_{1}}R{{h}_{2}}\Rightarrow {{h}_{2}}R{{h}_{1}}\] R is transitive as \[{{h}_{1}}R{{h}_{2}}\] and \[{{h}_{2}}R{{h}_{3}}\] \[\Rightarrow \,\,\,{{h}_{1}},{{h}_{2}}\]hi, h2 have same pair of asymptotes and \[{{h}_{2}},{{h}_{3}}\]have same pair of asymptotes \[\Rightarrow \,\,\,{{h}_{1}},{{h}_{3}}\] have same pair of asymptotes
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