A) A
B) B
C) \[\varphi \]
D) None of these
Correct Answer: C
Solution :
\[A\cap (A\cup B{)}'=A\cap ({A}'\cap {B}')\], \[(\because (A\cup B{)}'={A}'\cap {B}'\,)\] \[=(A\cap {A}')\cap {B}'\], (by associative law) \[=\varphi \cap {B}'\], \[(\because A\cap {A}'=\varphi )\] \[=\varphi \].You need to login to perform this action.
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