JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    The relation R defined in N as \[aRb\Leftrightarrow b\] is divisible by a is 

    A) Reflexive but not symmetric

    B) Symmetric but not transitive

    C) Symmetric and transitive

    D) None of these

    Correct Answer: A

    Solution :

    For any\[a\in N\], we find that a|a, therefore R is reflexive but R is not transitive, because \[aRb\] does not imply that\[bRa\].


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