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JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    If \[(A-B)\cup (B-A)=A\] for subsets A and B of the universal set U, then which one of the following is correct?

    A) B is proper non-empty subset of A

    B) A and B are non-empty disjoint sets

    C) \[B=\phi \]

    D) None of the above

    Correct Answer: C

    Solution :

    [c]For subsets A and B of U, If \[(A-B)\cup (B-A)=A,\] \[\Rightarrow B=\phi \]


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