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JEE Main & Advanced Mathematics Sets Question Bank Mock Test - Sets

  • question_answer
    If. A={x|\[{{x}^{2}}\]-5x+6=0},B={0,3,4}, C= {x\[\in \] N and x\[\le \]3} then\[(A-B)\times (C-B)\]is

    A) {(2, 1), (2, 4)}

    B) {(2, 1), (2, 2)}

    C) {(2, 1), (2, 2), (3, 2)}

    D) {(2, 2), (3, 2)}

    Correct Answer: B

    Solution :

    [b] \[{{x}^{2}}-5x+6=0\] \[\Rightarrow \]   \[(x-3)(x-2)=0\] \[\Rightarrow \]   \[x=2,3\] So        A = {2, 3}             B = {0, 3, 4}             C = {1, 2, 3}             A-B = {2}             C-B = {1, 2}             \[(A-B)\times (C-B)=\{(2,1),(2,2)\}\]


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