यदि \(U\neq\varnothing\), तो कौन सा कथन सदैव सत्य नहीं हो सकता?
If \(U\neq\varnothing\), which statement cannot be always true?
Explanation opens after your attempt
Correct Answer
C. \(A\cap A'=U\)
Concept
\(A\cap A'\) is always \(\varnothing\), so it cannot be (U) when \(U\neq\varnothing\). A set and its complement are disjoint.
Why this answer is correct
The correct answer is C. \(A\cap A'=U\). \(A\cap A'\) is always \(\varnothing\), so it cannot be (U) when \(U\neq\varnothing\). A set and its complement are disjoint.
Exam Tip
\(A\cap A'\) हमेशा \(\varnothing\) होता है, इसलिए \(U\neq\varnothing\) होने पर यह (U) नहीं हो सकता। मूल समुच्चय और पूरक असंयुक्त होते हैं।
Login to save your score, XP, coins and progress.