JEE Main & Advanced Mathematics Sets Question Bank Relations

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

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