यदि \(A\cup B=U\) और \(A\setminus B=\varnothing\), तो (B) के बारे में क्या अवश्य सत्य है?
If \(A\cup B=U\) and \(A\setminus B=\varnothing\), what must be true about (B)?
Explanation opens after your attempt
Correct Answer
A. (B=U)
Concept
From \(A\setminus B=\varnothing\), \(A\subseteq B\), so \(A\cup B=B\). Since \(A\cup B=U\), we get (B=U).
Why this answer is correct
The correct answer is A. (B=U). From \(A\setminus B=\varnothing\), \(A\subseteq B\), so \(A\cup B=B\). Since \(A\cup B=U\), we get (B=U).
Exam Tip
\(A\setminus B=\varnothing\) से \(A\subseteq B\) है, इसलिए \(A\cup B=B\) होगा। चूँकि \(A\cup B=U\), इसलिए (B=U) है।
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