JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    Let \[P=\{(x,\,y)|{{x}^{2}}+{{y}^{2}}=1,\,x,\,y\in R\}\]. Then P is

    A) Reflexive

    B) Symmetric

    C) Transitive

    D) Anti-symmetric

    Correct Answer: B

    Solution :

    Obviously, the relation is not reflexive and transitive but it is symmetric, because \[{{x}^{2}}+{{y}^{2}}=1\Rightarrow {{y}^{2}}+{{x}^{2}}=1\].


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