यदि \(A=\{1,2,3\}\) और \(R=\{(x,y):x-y=0\}\), जहां \(x,y\in A\), तो (R) किसके बराबर है?

If \(A=\{1,2,3\}\) and \(R=\{(x,y):x-y=0\}\), where \(x,y\in A\), then (R) is equal to what?

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Correct Answer

B. ({(1,1),(2,2),(3,3)})

Step 1

Concept

The equation (x-y=0) means (x=y). Therefore this is the identity relation on (A).

Step 2

Why this answer is correct

The correct answer is B. ({(1,1),(2,2),(3,3)}). The equation (x-y=0) means (x=y). Therefore this is the identity relation on (A).

Step 3

Exam Tip

(x-y=0) का अर्थ (x=y) है। इसलिए यह (A) पर तत्समक संबंध है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3\}\) और \(R=\{(x,y):x-y=0\}\), जहां \(x,y\in A\), तो (R) किसके बराबर है? / If \(A=\{1,2,3\}\) and \(R=\{(x,y):x-y=0\}\), where \(x,y\in A\), then (R) is equal to what?

Correct Answer: B. ({(1,1),(2,2),(3,3)}). Explanation: (x-y=0) का अर्थ (x=y) है। इसलिए यह (A) पर तत्समक संबंध है। / The equation (x-y=0) means (x=y). Therefore this is the identity relation on (A).

Which concept should I revise for this Mathematics MCQ?

The equation (x-y=0) means (x=y). Therefore this is the identity relation on (A).

What exam hint can help solve this Mathematics question?

(x-y=0) का अर्थ (x=y) है। इसलिए यह (A) पर तत्समक संबंध है।