JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    The relation R defined on the set of natural numbers as {(a, b) : a differs from b by 3}, is given by

    A) {(1, 4, (2, 5), (3, 6),.....}

    B) {(4, 1), (5, 2), (6, 3),.....}

    C) {(1, 3), (2, 6), (3, 9),..}

    D) None of these

    Correct Answer: B

    Solution :

    \[R=\{(a,\,b):a,\,b\in N,\,a-b=3\}=\{((n+3),n):n\in N\}\]    \[=\{(4,\,1),\,(5,\,2),\,(6,\,3),\,.....\}\].


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