यदि (A) रिक्त समुच्चय है, तो (\mathcal{P}(A)) के बारे में कौन सा कथन सही है?
If (A) is the empty set, which statement about (\mathcal{P}(A)) is correct?
Explanation opens after your attempt
Correct Answer
A. (\mathcal{P}(A)={\varnothing})
Concept
The only subset of the empty set is the empty set itself. Therefore its power set is \({\varnothing}\).
Why this answer is correct
The correct answer is A. (\mathcal{P}(A)={\varnothing}). The only subset of the empty set is the empty set itself. Therefore its power set is \({\varnothing}\).
Exam Tip
रिक्त समुच्चय का एकमात्र उपसमुच्चय स्वयं रिक्त समुच्चय है। इसलिए उसका घात समुच्चय \({\varnothing}\) है।
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