CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    Let\[A=\{x:{{x}^{2}}-5x+6=0\},\] B={2,4},C={4, 5}, then\[A\times (B\cap C)\]is:

    A)  {(2, 4), (3, 4)}

    B)                         {(4, 2), (4, 3)}

    C)                         {(2, 4), (3s 4), (4, 4)}

    D)                         {(2, 2), (3, 3), (4, 4), (5, 5)}

    E)                         null set

    Correct Answer: A

    Solution :

    \[\because \]A = {2, 3},B={2,4} and C={4, 5} \[\therefore \]  \[B\cap C=\{4\}\] Hence, \[A\times (B\cap C)=\{(2,4),(3,4)\}\]


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