समुच्चय \(\mathbb{R}\) पर (aRb) तभी जब \(a^2=b^2\)। (R) के बारे में सही कथन कौन सा है?
On \(\mathbb{R}\), (aRb) if and only if \(a^2=b^2\). Which statement about (R) is correct?
Explanation opens after your attempt
Correct Answer
A. यह तुल्यता संबंध हैIt is an equivalence relation
Concept
Since \(a^2=a^2\), equality is symmetric, and \(a^2=b^2\), \(b^2=c^2\) imply \(a^2=c^2\). Hence (R) is an equivalence relation.
Why this answer is correct
The correct answer is A. यह तुल्यता संबंध है / It is an equivalence relation. Since \(a^2=a^2\), equality is symmetric, and \(a^2=b^2\), \(b^2=c^2\) imply \(a^2=c^2\). Hence (R) is an equivalence relation.
Exam Tip
\(a^2=a^2\), equality symmetric होती है, और \(a^2=b^2\), \(b^2=c^2\) से \(a^2=c^2\)। इसलिए (R) तुल्यता संबंध है।
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