यदि \(U={1,2,\ldots,14}\), \(A=\{2,4,6,8,10,12,14\}\) और \(B=\{1,3,5,7,9,11,13\}\), तो (\mathcal{P}(A')=\mathcal{P}(B)) के बारे में क्या सही है?
If \(U={1,2,\ldots,14}\), \(A=\{2,4,6,8,10,12,14\}\), and \(B=\{1,3,5,7,9,11,13\}\), what is true about (\mathcal{P}(A')=\mathcal{P}(B))?
Explanation opens after your attempt
Correct Answer
A. यह सत्य है क्योंकि (A'=B)It is true because (A'=B)
Concept
(A) is the set of even numbers, so (A') in (U) is the set of odd numbers, which is (B). Equal original sets have equal power sets.
Why this answer is correct
The correct answer is A. यह सत्य है क्योंकि (A'=B) / It is true because (A'=B). (A) is the set of even numbers, so (A') in (U) is the set of odd numbers, which is (B). Equal original sets have equal power sets.
Exam Tip
(A) सम संख्याओं का समुच्चय है, इसलिए (A') (U) में विषम संख्याएं हैं, जो (B) है। समान मूल समुच्चय के घात समुच्चय भी समान होते हैं।
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