यदि \(A\subseteq B\), तो (\mathcal{P}(A)) और (\mathcal{P}(B)) के बीच कौन सा संबंध हमेशा सही है?
If \(A\subseteq B\), which relation between (\mathcal{P}(A)) and (\mathcal{P}(B)) is always true?
Explanation opens after your attempt
Correct Answer
A. \(\mathcal{P}(A)\subseteq\mathcal{P}(B)\)
Concept
Every subset of (A) is also a subset of (B). Therefore the power set relation remains in the same direction.
Why this answer is correct
The correct answer is A. \(\mathcal{P}(A)\subseteq\mathcal{P}(B)\). Every subset of (A) is also a subset of (B). Therefore the power set relation remains in the same direction.
Exam Tip
(A) का हर उपसमुच्चय (B) का भी उपसमुच्चय होगा। इसलिए घात समुच्चय का संबंध भी उसी दिशा में रहता है।
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