JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If A = {2, 3, 5}, B = {2, 5, 6}, then \[\left( A\text{ }-\text{ }B \right)\text{ }\times \text{ }\left( A\text{ }\cap \text{ }B \right)\] is

    A) {(3, 2), (3, 3), (3, 5)}

    B) {(3, 2), (3, 5), (3, 6)}

    C) {(3, 2), (3, 5)}

    D) None of these

    Correct Answer: C

    Solution :

    \[A-B=\{3\},\,A\cap B=\{2,5\}\] \[(A-B)\times (A\cap B)=\{(3,\,2);\,(3,\,5)\}\].


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