यदि \(A=\{1,2\}\) और \(B=\{3,4,5\}\) हैं, तो \(A\times B\) का सही सेट-बिल्डर रूप कौन सा है?
If \(A=\{1,2\}\) and \(B=\{3,4,5\}\), 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
Cartesian product is a set of ordered pairs. Therefore the correct form is \({(x,y):x\in A,,y\in B}\).
Why this answer is correct
The correct answer is A. \({(x,y):x\in A,,y\in B}\). Cartesian product is a set of ordered pairs. Therefore the correct form is \({(x,y):x\in A,,y\in B}\).
Exam Tip
कार्तीय गुणन क्रमित युग्मों का समुच्चय है। इसलिए सही रूप \({(x,y):x\in A,,y\in B}\) है।
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