Positive reals x, y satisfy x \neq y and \frac{x^2 + y^2}{xy... — Quantitative Ability 2026

Question 605 Quantitative Ability 2026 Medium MCQ +4.00 marks · -1.00 negative

Positive reals \(x, y\) satisfy \(x \neq y\) and \(\frac{x^2 + y^2}{xy} = k\). If replacing \(x\) by \(x+y\) and \(y\) by \(|x-y|\) leaves the value of \(k\) unchanged, then \(k\) equals

A. 1 B. \(\sqrt{2}\) C. 2 D. \(2\sqrt{2}\)

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