यदि \(R=\{(1,2),(2,1)\}\) है, तो symmetric property के लिए कौन-सा कारण सही है?

If \(R=\{(1,2),(2,1)\}\), which reason supports symmetric property?

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Correct Answer

A. ( (1,2) ) के साथ ( (2,1) ) भी है( (2,1) ) is present with ( (1,2) )

Step 1

Concept

In symmetric relation, if \((a,b)\in R\), then \((b,a)\in R\) must also be present. Here both ( (1,2) ) and ( (2,1) ) are present.

Step 2

Why this answer is correct

The correct answer is A. ( (1,2) ) के साथ ( (2,1) ) भी है / ( (2,1) ) is present with ( (1,2) ). In symmetric relation, if \((a,b)\in R\), then \((b,a)\in R\) must also be present. Here both ( (1,2) ) and ( (2,1) ) are present.

Step 3

Exam Tip

Symmetric में \((a,b)\in R\) हो तो \((b,a)\in R\) भी चाहिए। यहाँ ( (1,2) ) और ( (2,1) ) दोनों हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(R=\{(1,2),(2,1)\}\) है, तो symmetric property के लिए कौन-सा कारण सही है? / If \(R=\{(1,2),(2,1)\}\), which reason supports symmetric property?

Correct Answer: A. ( (1,2) ) के साथ ( (2,1) ) भी है / ( (2,1) ) is present with ( (1,2) ). Explanation: Symmetric में \((a,b)\in R\) हो तो \((b,a)\in R\) भी चाहिए। यहाँ ( (1,2) ) और ( (2,1) ) दोनों हैं। / In symmetric relation, if \((a,b)\in R\), then \((b,a)\in R\) must also be present. Here both ( (1,2) ) and ( (2,1) ) are present.

Which concept should I revise for this Mathematics MCQ?

In symmetric relation, if \((a,b)\in R\), then \((b,a)\in R\) must also be present. Here both ( (1,2) ) and ( (2,1) ) are present.

What exam hint can help solve this Mathematics question?

Symmetric में \((a,b)\in R\) हो तो \((b,a)\in R\) भी चाहिए। यहाँ ( (1,2) ) और ( (2,1) ) दोनों हैं।