यदि \(A=\{1,2,3\}\) पर \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3)\}\), तो (R) संक्रामी क्यों नहीं है?

If \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3)\}\) on \(A=\{1,2,3\}\), why is (R) not transitive?

Explanation opens after your attempt
Correct Answer

A. क्योंकि \((1,3)\notin R\)Because \((1,3)\notin R\)

Step 1

Concept

Since \((1,2)\in R\) and \((2,3)\in R\), ( (1,3) ) is required, but it is missing. Therefore (R) is not transitive.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि \((1,3)\notin R\) / Because \((1,3)\notin R\). Since \((1,2)\in R\) and \((2,3)\in R\), ( (1,3) ) is required, but it is missing. Therefore (R) is not transitive.

Step 3

Exam Tip

\((1,2)\in R\) और \((2,3)\in R\) होने पर ( (1,3) ) चाहिए, पर वह नहीं है। इसलिए (R) संक्रामी नहीं है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3\}\) पर \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3)\}\), तो (R) संक्रामी क्यों नहीं है? / If \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3)\}\) on \(A=\{1,2,3\}\), why is (R) not transitive?

Correct Answer: A. क्योंकि \((1,3)\notin R\) / Because \((1,3)\notin R\). Explanation: \((1,2)\in R\) और \((2,3)\in R\) होने पर ( (1,3) ) चाहिए, पर वह नहीं है। इसलिए (R) संक्रामी नहीं है। / Since \((1,2)\in R\) and \((2,3)\in R\), ( (1,3) ) is required, but it is missing. Therefore (R) is not transitive.

Which concept should I revise for this Mathematics MCQ?

Since \((1,2)\in R\) and \((2,3)\in R\), ( (1,3) ) is required, but it is missing. Therefore (R) is not transitive.

What exam hint can help solve this Mathematics question?

\((1,2)\in R\) और \((2,3)\in R\) होने पर ( (1,3) ) चाहिए, पर वह नहीं है। इसलिए (R) संक्रामी नहीं है।