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JEE Main & Advanced Mathematics Sets Question Bank Critical Thinking

  • question_answer
    If \[A=\{x:{{x}^{2}}-5x+6=0\},\,B=\{2,\,4\},\,C=\{4,\,5\},\] then \[A\times (B\cap C)\] is [Kerala (Engg.) 2002]

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

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

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

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

    Correct Answer: A

    Solution :

    Clearly, A = {2, 3}, B = {2, 4}, C  = {4, 5} B Ç C  = {4} \[\therefore \] A  × (B Ç C) = {(2, 4); (3, 4)}.


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