यदि \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,4,6,8,10\}\) और \(B=A^c\) है, तो \(A\cap B\) क्या होगा?
If \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,4,6,8,10\}\), and \(B=A^c\), what is \(A\cap B\)?
Explanation opens after your attempt
Correct Answer
A. \(\varnothing\)
Concept
If \(B=A^c\), then \(A\cap B=A\cap A^c=\varnothing\). Complementary sets are always disjoint.
Why this answer is correct
The correct answer is A. \(\varnothing\). If \(B=A^c\), then \(A\cap B=A\cap A^c=\varnothing\). Complementary sets are always disjoint.
Exam Tip
यदि \(B=A^c\), तो \(A\cap B=A\cap A^c=\varnothing\) होगा। पूरक समुच्चय हमेशा असंबद्ध होते हैं।
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