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

  • question_answer
    If \[\mu \] is the universal set and P is a subset of \[\mu \], then what is \[P\cap (P-\mu )\cup (\mu -P)\}\] equal to?

    A) \[\phi \]

    B) P?

    C) m                                

    D) P

    Correct Answer: A

    Solution :

    [a]Since \[\mu \]is universal set And \[P\subseteq \mu ,\,\,P-\mu =\phi \] and \[\mu -P=P'\] So, \[(P-\mu )\cup (\mu -P)=\phi \cup P'=P'\] Now, \[P\cap \{P-\mu )\cup (\mu -P\}=P\cap P'=\phi \]


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