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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2008

  • 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 the above

    Correct Answer: A

    Solution :

                    Since R is a relation from {11,12, 13} to {8, 10,12} defined by\[y=x-3\Rightarrow x-y=3\] \[\therefore \]  \[R=\{(11,8),(13,10)\}\] \[\Rightarrow \]               \[{{R}^{-1}}=\{(8,11),(10,13)\}\]


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