CUET · MATHS · PYQ PAPER 2025
For \(x>y>0\), if \(x^5 y^6=(x+y)^{11}\), then \(\frac{d^{2} y}{d x^2}\) is
- A \(x / y\)
- B \(y / x\)
- C 1
- D \(0\)
Answer & Solution
Correct Answer
(D) \(0\)
Step-by-step Solution
Detailed explanation
\(5 \ln x + 6 \ln y = 11 \ln(x+y)\) \(\frac{5}{x} + \frac{6}{y} \frac{dy}{dx} = \frac{11}{x+y} (1 + \frac{dy}{dx})\) \(\frac{6x-5y}{y(x+y)} \frac{dy}{dx} = \frac{6x-5y}{x(x+y)}\) \(\frac{dy}{dx} = \frac{y}{x}\) \(\frac{d^{2} y}{d x^2} = \frac{x \frac{dy}{dx} - y}{x^2}\)…
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