यदि \(R=\{(x,y)\in \mathbb{R}\times\mathbb{R}:x^2=y^2\}\), तो (R) के लिए सही कथन क्या है?
If \(R=\{(x,y)\in \mathbb{R}\times\mathbb{R}:x^2=y^2\}\), which statement is correct for (R)?
Explanation opens after your attempt
Correct Answer
A. समतुल्य संबंध हैIt is an equivalence relation
Concept
\(x^2=x^2\), \(x^2=y^2\Rightarrow y^2=x^2\), and equality is transitive. Hence it is an equivalence relation.
Why this answer is correct
The correct answer is A. समतुल्य संबंध है / It is an equivalence relation. \(x^2=x^2\), \(x^2=y^2\Rightarrow y^2=x^2\), and equality is transitive. Hence it is an equivalence relation.
Exam Tip
\(x^2=x^2\), \(x^2=y^2\Rightarrow y^2=x^2\), और बराबरी की शर्त संक्रमी है। इसलिए यह समतुल्य संबंध है।
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