A) reflexive and symmetric only
B) an equivalence relation
C) reflexive only
D) reflexive and transitive only
Correct Answer: D
Solution :
Since, (3, 3), (6, 6), (9, 9), (12, 12) \[\in R\] \[\Rightarrow \]R is reflexive relation. Now,\[(6,12)\in R\]but\[(12,\text{ }6)R,\]so it is not a symmetric relation. Also, \[(3,6),(6,12)\in R\] \[\Rightarrow \]\[(3,12)\in R\] \[\Rightarrow \]R is transitive relation. Note Any relation is said to be an equivalence relation, if it is reflexive, symmetric and transitive relations simultaneously.You need to login to perform this action.
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