यदि \(A=\{1,2\}\) और \(B=\{3,4\}\) हैं, तो \(A\times B\) का कौन सा सही सेट-बिल्डर रूप है?
If \(A=\{1,2\}\) and \(B=\{3,4\}\), which is the correct set-builder form of \(A\times B\)?
Explanation opens after your attempt
Correct Answer
A. \({(x,y):x\in A,,y\in B}\)
Concept
\(A\times B\) is a set of ordered pairs, so its form is \({(x,y):x\in A,,y\in B}\). Sum or product of entries is not Cartesian product.
Why this answer is correct
The correct answer is A. \({(x,y):x\in A,,y\in B}\). \(A\times B\) is a set of ordered pairs, so its form is \({(x,y):x\in A,,y\in B}\). Sum or product of entries is not Cartesian product.
Exam Tip
\(A\times B\) क्रमित युग्मों का समुच्चय है, इसलिए रूप \({(x,y):x\in A,,y\in B}\) है। योग या गुणन कार्तीय गुणन नहीं है।
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