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J & K CET Engineering J and K - CET Engineering Solved Paper-2013

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

    A)  \[\{(8,\,11),\,(10,13)\}\]

    B)  \[\{(11,\,8),\,(13,10)\}\]

    C)  \[\{(10,\,13),\,(8,11),\,(12,\,10)\}\]

    D)  None of the above

    Correct Answer: A

    Solution :

    Given, \[y=(x-3)\] When, \[x=11,\] \[y=11-3=8\] When \[x=12,\,\,\,\,\,y=12-3=9\] When \[x=13,\,\,\,y=13-3=10\] \[\therefore \] \[R=\{(11,8),\,\,(13,\,10)\}\] \[\Rightarrow \] \[{{R}^{-1}}=\{(8,\,11),\,\,(10,13)\}\]


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