यदि \(A=\{1,2\}\) है, तो \({1}\in\mathcal{P}(A)\) और \({1}\subseteq\mathcal{P}(A)\) में से कौन सा सही है?
If \(A=\{1,2\}\), which is correct between \({1}\in\mathcal{P}(A)\) and \({1}\subseteq\mathcal{P}(A)\)?
Explanation opens after your attempt
Correct Answer
A. केवल \({1}\in\mathcal{P}(A)\)
Concept
({1}) is a subset of (A), so \({1}\in\mathcal{P}(A)\) is true. But \({1}\subseteq\mathcal{P}(A)\) would require \(1\in\mathcal{P}(A)\), which is false.
Why this answer is correct
The correct answer is A. केवल \({1}\in\mathcal{P}(A)\). ({1}) is a subset of (A), so \({1}\in\mathcal{P}(A)\) is true. But \({1}\subseteq\mathcal{P}(A)\) would require \(1\in\mathcal{P}(A)\), which is false.
Exam Tip
({1}) (A) का subset है, इसलिए \({1}\in\mathcal{P}(A)\) सत्य है। पर \({1}\subseteq\mathcal{P}(A)\) के लिए \(1\in\mathcal{P}(A)\) चाहिए, जो गलत है।
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