JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relation and Functions-II

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

    A) Reflexive

    B) Symmetric

    C) Transitive

    D) Anti-symmetric

    Correct Answer: B

    Solution :

    [b] 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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