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J & K CET Engineering J and K - CET Engineering Solved Paper-2014

  • question_answer
    Let \[A\{1,2,3,4,5\}.\]Find the domain in the relation from A to A by \[R=\{(x,y):y=2x-1\}.\]

    A)  \[\{1,2,3\}\]         

    B)  \[\{1,2\}\]

    C)  \[\{1,3,5\}\]        

    D)  \[\{2,4\}\]

    Correct Answer: A

    Solution :

    Given, \[A=\{1,2,3,4,5,\}\] \[R:A\to A\]and \[R=\{(x,y):y=2x-1\}\] \[\therefore \]   \[R=\{1,1),\,(2,3),\,(3.5)\}\] Hence, domain of \[R=\{1,2,3\}\]


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