यदि \(\mathcal{P}(A)\subseteq \mathcal{P}(U)\) है, तो निश्चित रूप से कौन सा कथन सही है?
If \(\mathcal{P}(A)\subseteq \mathcal{P}(U)\), which statement is definitely true?
Explanation opens after your attempt
Correct Answer
A. \(A\subseteq U\)
Concept
Since \(A\in \mathcal{P}(A)\), \(A\in \mathcal{P}(U)\), hence \(A\subseteq U\). In exams, infer \(A\subseteq U\) from \(\mathcal{P}(A)\subseteq \mathcal{P}(U)\).
Why this answer is correct
The correct answer is A. \(A\subseteq U\). Since \(A\in \mathcal{P}(A)\), \(A\in \mathcal{P}(U)\), hence \(A\subseteq U\). In exams, infer \(A\subseteq U\) from \(\mathcal{P}(A)\subseteq \mathcal{P}(U)\).
Exam Tip
क्योंकि \(A\in \mathcal{P}(A)\), इसलिए \(A\in \mathcal{P}(U)\) और अतः \(A\subseteq U\)। परीक्षा में \(\mathcal{P}(A)\subseteq \mathcal{P}(U)\) से \(A\subseteq U\) निकालें।
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