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 2009]
  • A

    $A = C$

  • B

    $B = C$

  • C

    $\;A \cap B = \emptyset $

  • D

    $\;A = B$

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