CUET · MATHS · PYQ PAPER 2025
If \(x^m y^n=(x+y)^{m+n}\), then \(\frac{d^2 y}{d x^2}\) is equal to:
- A \(\frac{y^2}{x^2}\)
- B \(-\frac{y}{x}\)
- C \(\frac{y}{x}\)
- D 0
Answer & Solution
Correct Answer
(D) 0
Step-by-step Solution
Detailed explanation
\(m \ln x + n \ln y = (m+n) \ln(x+y)\) \(\frac{m}{x} + \frac{n}{y} \frac{dy}{dx} = \frac{m+n}{x+y} \left(1 + \frac{dy}{dx}\right)\) \(\frac{dy}{dx} \left( \frac{n}{y} - \frac{m+n}{x+y} \right) = \frac{m+n}{x+y} - \frac{m}{x}\)…
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