यदि (\(A\cap B'\)\cup\(A'\cap B'\)=B'), तो यह किस नियम का उदाहरण है?
If (\(A\cap B'\)\cup\(A'\cap B'\)=B'), this is an example of which rule?
Explanation opens after your attempt
Correct Answer
A. (B'\cap\(A\cup A'\)=B')
Concept
Factoring (B') gives (\(A\cap B'\)\cup\(A'\cap B'\)=B'\cap\(A\cup A'\)). Since \(A\cup A'=U\), the result is (B').
Why this answer is correct
The correct answer is A. (B'\cap\(A\cup A'\)=B'). Factoring (B') gives (\(A\cap B'\)\cup\(A'\cap B'\)=B'\cap\(A\cup A'\)). Since \(A\cup A'=U\), the result is (B').
Exam Tip
साझा (B') लेने पर (\(A\cap B'\)\cup\(A'\cap B'\)=B'\cap\(A\cup A'\))। चूंकि \(A\cup A'=U\), परिणाम (B') है।
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