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JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    A = {1, 2, 3} and B = {3, 8}, then  \[\left( A\text{ }\cup \text{ }B \right)\text{ }\times \text{ }\left( A\text{ }\cap \text{ }B \right)\] is

    A) {(3, 1), (3, 2), (3, 3), (3, 8)}

    B) {(1, 3), (2, 3), (3, 3), (8, 3)}

    C) {(1, 2), (2, 2), (3, 3), (8, 8)}

    D) {(8, 3), (8, 2), (8, 1), (8, 8)}

    Correct Answer: B

    Solution :

    \[A\cup B=\{1,\text{ 2, 3, 8}\}\]; \[A\cap B=\{3\}\] \[(A\cup B)\times (A\cap B)=\{(1,\,3),\,(2,3),(3,3),(8,3)\}\].


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