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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 23

  • question_answer
    Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12}. The relation is

    A) reflexive and transitive only

    B) reflexive only

    C) an equivalence relation

    D) reflexive and symmetric only

    Correct Answer: A

    Solution :

    [a] : Since (3, 3), (6. 6), (9, 9). (12, 12)\[\in R\] Hence R is reflexive \[\because \](3, 6), (6, 12) and (3, 12) \[\in R\]. Therefore R is transitive. \[\because \](3, 6) ER but (6, 3) \[\notin R\]hence R is not symmetric.


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