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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
If X and Y are two sets, then X∩Y ' ∩ (X∪Y) ' is
Solution
Expression: \(X \cap Y' \cap (X \cup Y)'\)
Use De Morgan’s law: \((X \cup Y)' = X' \cap Y'\).
\[ X \cap Y' \cap (X \cup Y)' \;=\; X \cap Y' \cap (X' \cap Y') \;=\; (X \cap X') \cap Y' \cap Y' \;=\; \varnothing. \]
Answer: \(\boxed{\varnothing}\).
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