यदि (\mathcal{P}(A)=\mathcal{P}(B)) है, तो निश्चित रूप से कौन सा कथन सही है?
If (\mathcal{P}(A)=\mathcal{P}(B)), which statement is definitely true?
Explanation opens after your attempt
Correct Answer
C. (A=B)
Concept
Since \(A\in\mathcal{P}(A)\), \(A\in\mathcal{P}(B)\) and \(A\subseteq B\). Similarly \(B\subseteq A\), so (A=B).
Why this answer is correct
The correct answer is C. (A=B). Since \(A\in\mathcal{P}(A)\), \(A\in\mathcal{P}(B)\) and \(A\subseteq B\). Similarly \(B\subseteq A\), so (A=B).
Exam Tip
क्योंकि \(A\in\mathcal{P}(A)\), इसलिए \(A\in\mathcal{P}(B)\) और \(A\subseteq B\)। इसी तरह \(B\subseteq A\), इसलिए (A=B)।
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