यदि \(A={\varnothing,{\varnothing}}\), तो (P(A)) में कौन सा अवयव अवश्य होगा?
If \(A={\varnothing,{\varnothing}}\), which element must be in (P(A))?
Explanation opens after your attempt
Correct Answer
B. \({\varnothing,{\varnothing}}\)
Concept
Every set is an element of its power set, so \(A={\varnothing,{\varnothing}}\) is included. The original set is also in its power set.
Why this answer is correct
The correct answer is B. \({\varnothing,{\varnothing}}\). Every set is an element of its power set, so \(A={\varnothing,{\varnothing}}\) is included. The original set is also in its power set.
Exam Tip
हर समुच्चय स्वयं अपने पावर सेट का अवयव होता है, इसलिए \(A={\varnothing,{\varnothing}}\) शामिल है। पावर सेट में मूल समुच्चय भी आता है।
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