यदि (n\(A\cup B\)=n(A)+n(B)) और (n(A)=0), तो \(A\cap B\) क्या है?
If (n\(A\cup B\)=n(A)+n(B)) and (n(A)=0), what is \(A\cap B\)?
Explanation opens after your attempt
Correct Answer
A. \(\varnothing\)
Concept
Since (n(A)=0), \(A=\varnothing\), so \(A\cap B=\varnothing\). The intersection of the empty set with any set is empty.
Why this answer is correct
The correct answer is A. \(\varnothing\). Since (n(A)=0), \(A=\varnothing\), so \(A\cap B=\varnothing\). The intersection of the empty set with any set is empty.
Exam Tip
(n(A)=0) से \(A=\varnothing\) है, इसलिए \(A\cap B=\varnothing\) होगा। खाली सेट का किसी भी सेट से प्रतिच्छेद खाली होता है।
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