यदि \(A=\{4,5\}\) और \(B=\{6,7,8\}\) हैं, तो \(A\times B\) का सही सेट-बिल्डर रूप कौन सा है?

If \(A=\{4,5\}\) and \(B=\{6,7,8\}\), which is the correct set-builder form of \(A\times B\)?

Explanation opens after your attempt
Correct Answer

C. \({(x,y):x\in A,,y\in B}\)

Step 1

Concept

Cartesian product is a set of ordered pairs. In the correct form, the first component is from (A) and the second is from (B).

Step 2

Why this answer is correct

The correct answer is C. \({(x,y):x\in A,,y\in B}\). Cartesian product is a set of ordered pairs. In the correct form, the first component is from (A) and the second is from (B).

Step 3

Exam Tip

कार्तीय गुणन क्रमित युग्मों का समुच्चय है। सही रूप में पहला घटक (A) से और दूसरा (B) से होना चाहिए।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{4,5\}\) और \(B=\{6,7,8\}\) हैं, तो \(A\times B\) का सही सेट-बिल्डर रूप कौन सा है? / If \(A=\{4,5\}\) and \(B=\{6,7,8\}\), which is the correct set-builder form of \(A\times B\)?

Correct Answer: C. \({(x,y):x\in A,,y\in B}\). Explanation: कार्तीय गुणन क्रमित युग्मों का समुच्चय है। सही रूप में पहला घटक (A) से और दूसरा (B) से होना चाहिए। / Cartesian product is a set of ordered pairs. In the correct form, the first component is from (A) and the second is from (B).

Which concept should I revise for this Mathematics MCQ?

Cartesian product is a set of ordered pairs. In the correct form, the first component is from (A) and the second is from (B).

What exam hint can help solve this Mathematics question?

कार्तीय गुणन क्रमित युग्मों का समुच्चय है। सही रूप में पहला घटक (A) से और दूसरा (B) से होना चाहिए।