यदि \(A\times B=\varnothing\) और \(A=\{1\}\) है, तो (B) क्या होगा?
If \(A\times B=\varnothing\) and \(A=\{1\}\), what is (B)?
Explanation opens after your attempt
Correct Answer
A. \(B=\varnothing\)
Concept
(A) is not empty and still the product is empty, so (B) must be empty. In an empty product, at least one set is empty.
Why this answer is correct
The correct answer is A. \(B=\varnothing\). (A) is not empty and still the product is empty, so (B) must be empty. In an empty product, at least one set is empty.
Exam Tip
(A) खाली नहीं है, फिर भी गुणन खाली है, इसलिए (B) खाली होना चाहिए। खाली गुणन में कम से कम एक समुच्चय खाली होता है।
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