\(\mathbb{R}\) पर (aRb) तभी जब (a-b) परिमेय है। (R) के equivalence classes किस प्रकार बनते हैं?
On \(\mathbb{R}\), (aRb) if and only if (a-b) is rational. How are the equivalence classes of (R) formed?
Explanation opens after your attempt
Correct Answer
A. \([a]={a+q:q\in\mathbb{Q}}\)
Concept
(xRa) means \(x-a\in\mathbb{Q}\), so (x=a+q) where \(q\in\mathbb{Q}\). When writing a class, solve the relation condition for the variable.
Why this answer is correct
The correct answer is A. \([a]={a+q:q\in\mathbb{Q}}\). (xRa) means \(x-a\in\mathbb{Q}\), so (x=a+q) where \(q\in\mathbb{Q}\). When writing a class, solve the relation condition for the variable.
Exam Tip
(xRa) का अर्थ \(x-a\in\mathbb{Q}\), यानी (x=a+q) जहाँ \(q\in\mathbb{Q}\)। Class लिखते समय variable को relation condition से निकालें।
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