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JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    Let L denote the set of all straight lines in a plane. Let a relation R be defined by \[\alpha R\beta \Leftrightarrow \alpha \bot \beta ,\,\alpha ,\,\beta \in L\]. Then R is

    A) Reflexive

    B) Symmetric

    C) Transitive

    D) None of these

    Correct Answer: B

    Solution :

    Here \[\alpha R\beta \Leftrightarrow \alpha \bot \beta \] \ \[\alpha \,\bot \,\beta \Leftrightarrow \beta \,\bot \,\alpha \] Hence, R is symmetric.


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