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JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    The relation R defined on the set \[A=\{1,2,3,4,5\}\]by \[R=\{(x,y):\left| {{x}^{2}}-{{y}^{2}} \right|<16\}\] is given by

    A) \[\{(1,1),(2,1),(3,1),(4,1),(2,3)\}\]

    B) \[\{(2,2),(3,2),(4,2),(2,4)\}\]

    C) \[\{(3,3),(3,4),(5,4),(4,3),(3,1)\}\]

    D) None of these

    Correct Answer: D

    Solution :

    [d] Here \[R=\{(x,y):\left| {{x}^{2}}-{{y}^{2}} \right|<16\}\] and given \[A=\{1,2,3,4,5\}\] \[\therefore R=\{(1,2)(1,3)(1,4);(2,1)(2,2)(2,3)(2,4);\]\[(3,1);(3,2)(3,3)(3,4);\]\[(4,1)(4,2)(4,3);\]\[(4,4),(4,5),(5,4),(5,5)\}\]


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