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

  • question_answer
    Let \[A=\{1,2,3,4\}\] and R be the relation on A defined by \[\{(a,b);\,\,a,\,b\,\in A,\,\,a\times b\] is an even number}, then find the range of R.

    A)  \[\{1,2,3,4\}\]

    B)  \[\{2,\,\,4\}\]

    C)  \[\{2,\,\,3,\,\,4\}\]

    D)  \[\{1,\,\,2,\,\,4\}\]

    Correct Answer: A

    Solution :

    Given,  \[A=\{1,2,3,4\},R=\{(a,b):a,b,\in A,a\times b\]is an even number} then,\[R=\{(1,20,(1,4),(2,3),(2,4),(3,4),(4,4),(2,1),\] \[(4,1),(3,2),(4,2),(4,3)\}\] \[\therefore \]  Range of \[R=\{1,2,3,4\}\]


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