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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2008

  • question_answer
    R   is   a   relation   on. N   given   by \[R=\{(x,y):4x+3y=20\}\]. Which  of  the following belongs to R?

    A)  \[(-4,12)\]                         

    B)  \[(5,0)\]

    C)  \[(3,4)\]                             

    D)  \[(2,4)\]

    Correct Answer: D

    Solution :

    Given, \[R=\{(x,y):4x+3y=20\}.\] Since, R is a relation on N, therefore x, y are the elements of N. In the given options (a), (b) and (d) satisfy the given relation, but in options (a) and (b) elements are not natural numbers. Hence, option (d) is the correct answer.


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