Class 11 Mathematics Relations and Functions Cartesian product of sets Medium Level 23

यदि \(A=\{1,3\}\) और \(B=\{2,4,6\}\) हैं, तो \(A\times B\) में सभी युग्मों के घटक-गुणनफलों का समुच्चय क्या होगा?

If \(A=\{1,3\}\) and \(B=\{2,4,6\}\), what is the set of products of components of all pairs in \(A\times B\)?

Explanation opens after your attempt
Correct Answer

A. ({2,4,6,12,18})

Step 1

Concept

The products are \(1\cdot2=2\), \(1\cdot4=4\), \(1\cdot6=6\), \(3\cdot2=6\), \(3\cdot4=12\), \(3\cdot6=18\). In a set, (6) is not written twice.

Step 2

Why this answer is correct

The correct answer is A. ({2,4,6,12,18}). The products are \(1\cdot2=2\), \(1\cdot4=4\), \(1\cdot6=6\), \(3\cdot2=6\), \(3\cdot4=12\), \(3\cdot6=18\). In a set, (6) is not written twice.

Step 3

Exam Tip

गुणनफल \(1\cdot2=2\), \(1\cdot4=4\), \(1\cdot6=6\), \(3\cdot2=6\), \(3\cdot4=12\), \(3\cdot6=18\) मिलते हैं। समुच्चय में (6) को दो बार नहीं लिखते।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,3\}\) और \(B=\{2,4,6\}\) हैं, तो \(A\times B\) में सभी युग्मों के घटक-गुणनफलों का समुच्चय क्या होगा? / If \(A=\{1,3\}\) and \(B=\{2,4,6\}\), what is the set of products of components of all pairs in \(A\times B\)?

Correct Answer: A. ({2,4,6,12,18}). Explanation: गुणनफल \(1\cdot2=2\), \(1\cdot4=4\), \(1\cdot6=6\), \(3\cdot2=6\), \(3\cdot4=12\), \(3\cdot6=18\) मिलते हैं। समुच्चय में (6) को दो बार नहीं लिखते। / The products are \(1\cdot2=2\), \(1\cdot4=4\), \(1\cdot6=6\), \(3\cdot2=6\), \(3\cdot4=12\), \(3\cdot6=18\). In a set, (6) is not written twice.

Which concept should I revise for this Mathematics MCQ?

The products are \(1\cdot2=2\), \(1\cdot4=4\), \(1\cdot6=6\), \(3\cdot2=6\), \(3\cdot4=12\), \(3\cdot6=18\). In a set, (6) is not written twice.

What exam hint can help solve this Mathematics question?

गुणनफल \(1\cdot2=2\), \(1\cdot4=4\), \(1\cdot6=6\), \(3\cdot2=6\), \(3\cdot4=12\), \(3\cdot6=18\) मिलते हैं। समुच्चय में (6) को दो बार नहीं लिखते।