JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    R is a relation from {11, 12, 13} to {8, 10, 12} defined by \[y=x-3\]. Then \[{{R}^{-1}}\] is

    A) {(8, 11), (10, 13)}

    B) {(11, 18), (13, 10)}

    C) {(10, 13), (8, 11)}

    D) None of these

    Correct Answer: A

    Solution :

    R is a relation from {11, 12, 13}to {8, 10, 12} defined by \[y=x-3\Rightarrow x-y=3\] \ R = {11, 8},{13, 10}. Hence, \[{{R}^{-1}}=\{8,\,11\};\{10,\,13\}\].


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