JEE Main & Advanced Sample Paper JEE Main Sample Paper-39

  • question_answer
    If X and Y are two sets, then \[X\cap {{(X\cup Y)}^{c}}\]equals.

    A)  X                                

    B)  Y

    C)  \[\phi \]                       

    D)  None of these.

    Correct Answer: C

    Solution :

     \[X\cap {{(X\cup Y)}^{c}}=X\cap ({{X}^{c}}\cap {{Y}^{c}})=(X\cap {{X}^{c}})\cap {{Y}^{c}}\] \[=\phi \cap {{Y}^{c}}=\phi \]


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