यदि \(U=\{1,2,3,4,5\}\) और \(A=\{1,4\}\) है, तो \(\mathcal{P}(A)\cap \mathcal{P}(A')\) क्या होगा?
If \(U=\{1,2,3,4,5\}\) and \(A=\{1,4\}\), what is \(\mathcal{P}(A)\cap \mathcal{P}(A')\)?
Explanation opens after your attempt
Correct Answer
B. \({\varnothing}\)
Concept
(A) and (A') are disjoint, so the only common subset is \(\varnothing\). In exams, understand intersection of power sets as common subsets.
Why this answer is correct
The correct answer is B. \({\varnothing}\). (A) and (A') are disjoint, so the only common subset is \(\varnothing\). In exams, understand intersection of power sets as common subsets.
Exam Tip
(A) और (A') असंबद्ध हैं, इसलिए दोनों के समान उपसमुच्चय में केवल \(\varnothing\) है। परीक्षा में intersection of power sets को common subsets समझें।
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