यदि \(R=\{(1,1),(1,2),(2,2),(3,3)\}\) on \(A=\{1,2,3\}\), तो (R) परावर्ती है या नहीं?

If \(R=\{(1,1),(1,2),(2,2),(3,3)\}\) on \(A=\{1,2,3\}\), is (R) reflexive?

Explanation opens after your attempt
Correct Answer

A. हाँ, क्योंकि \((1,1),(2,2),(3,3)\in R\)Yes, because \((1,1),(2,2),(3,3)\in R\)

Step 1

Concept

For reflexivity, all pairs ( (a,a) ) are required, and they are present here. The extra pair ( (1,2) ) does not break reflexivity.

Step 2

Why this answer is correct

The correct answer is A. हाँ, क्योंकि \((1,1),(2,2),(3,3)\in R\) / Yes, because \((1,1),(2,2),(3,3)\in R\). For reflexivity, all pairs ( (a,a) ) are required, and they are present here. The extra pair ( (1,2) ) does not break reflexivity.

Step 3

Exam Tip

परावर्ती होने के लिए सभी ( (a,a) ) युग्म चाहिए और यहाँ वे मौजूद हैं। अतिरिक्त ( (1,2) ) होने से परावर्तिता खराब नहीं होती।

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Mathematics Answer, Explanation and Revision Hints

यदि \(R=\{(1,1),(1,2),(2,2),(3,3)\}\) on \(A=\{1,2,3\}\), तो (R) परावर्ती है या नहीं? / If \(R=\{(1,1),(1,2),(2,2),(3,3)\}\) on \(A=\{1,2,3\}\), is (R) reflexive?

Correct Answer: A. हाँ, क्योंकि \((1,1),(2,2),(3,3)\in R\) / Yes, because \((1,1),(2,2),(3,3)\in R\). Explanation: परावर्ती होने के लिए सभी ( (a,a) ) युग्म चाहिए और यहाँ वे मौजूद हैं। अतिरिक्त ( (1,2) ) होने से परावर्तिता खराब नहीं होती। / For reflexivity, all pairs ( (a,a) ) are required, and they are present here. The extra pair ( (1,2) ) does not break reflexivity.

Which concept should I revise for this Mathematics MCQ?

For reflexivity, all pairs ( (a,a) ) are required, and they are present here. The extra pair ( (1,2) ) does not break reflexivity.

What exam hint can help solve this Mathematics question?

परावर्ती होने के लिए सभी ( (a,a) ) युग्म चाहिए और यहाँ वे मौजूद हैं। अतिरिक्त ( (1,2) ) होने से परावर्तिता खराब नहीं होती।