JEE Main & Advanced Sample Paper JEE Main Sample Paper-25

  • question_answer
    The relation R = {(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)} on the set \[A=\{1,2,3\}\] is

    A)  reflexive but not symmetric

    B)  reflexive but not transitive

    C)  symmetric and transitive

    D)  neither symmetric nor transitive

    Correct Answer: A

    Solution :

    (1, 1), (2, 2) (3, 3) \[\in \,R\Rightarrow R\] is reflexive \[(1,\,2)\in \,R\] but \[(2,\,1)\,\notin R\Rightarrow R\] is not symmetric \[(1,\,2)\in R,\,\,(2,\,3)\,\in R,\,\,(1,\,\,3)\in R\,\Rightarrow \,R\] is transitive.


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