JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    Let R be a reflexive relation on a finite set A having            n-elements, and let there be m ordered pairs in R. Then

    A) \[m\ge n\]

    B) \[m\le n\]

    C) \[m=n\]

    D) None of these

    Correct Answer: A

    Solution :

    Since R is reflexive relation on A, therefore \[(a,a)\in R\]for all \[a\in A\]. The minimum number of ordered pairs in R is n. Hence, \[m\ge n\].


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