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JEE Main & Advanced Sample Paper JEE Main Sample Paper-40

  • question_answer
    Let for real numbers x and y we define the relation R such that \[xRy\Leftrightarrow {{x}^{2}}+{{y}^{2}}=1\]
    Statement-1: The relation R is an equivalence relation.
    Statement-2: A relation R is an equivalence relation if it is reflexive, transitive and symmetric.

    A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

    B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

    C) Statement-1 is true, Statement-2 is false.

    D) Statement-1 is false, Statement-2 is true.

    Correct Answer: A

    Solution :

    Clearly the relation is not reflexive, neither transitive. It is only symmetric.


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