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JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If A and B are any two sets, then \[A\text{ }\cap \text{ }\left( A\text{ }\cup \text{ }B \right)\] is equal to

    A) A

    B) B

    C) \[{{A}^{c}}\]

    D) \[{{B}^{c}}\]

    Correct Answer: A

    Solution :

    \[A\cap (A\cup B)=A\],  \[[\because A\subseteq B\cup A]\].


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