JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    Let R be a relation on a set A such that \[R={{R}^{-1}}\], then R  is

    A) Reflexive

    B) Symmetric

    C) Transitive

    D) None of these

    Correct Answer: B

    Solution :

    Let \[(a,b)\in R\] Then, \[(a,b)\in R\Rightarrow (b,a)\in {{R}^{-1}}\], [By def. of \[{{R}^{-1}}\]] Þ \[(b,a)\in R\],  \[[\because R={{R}^{-1}}]\] So, R is symmetric.


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