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  3. JEE Main & Advanced

JEE Main & Advanced AIEEE Solved Paper-2009

  • question_answer
    If A, B and C are three sets such that \[A\cap B=A\cap C\]and\[A\cup B=A\cup C,\]then     AIEEE  Solved  Paper-2009

    A) \[A=B\]               

    B) \[A=C\]               

    C) \[B=C\]                

    D)        \[A\cap B=\phi \]

    Correct Answer: C

    Solution :

    \[A\cup B=A\cup C\] \[\Rightarrow \] \[n(A\cup B)=n(A\cup C)\] \[\Rightarrow \] \[n(A)+n(B)-n(A\cap B)\] \[=n(A)+n(C)-n(A\cap C)\] \[n(B)=n(C)\]


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