AP EAMCET · Maths · Differentiation
If \(x \sin (\alpha+y)=\sin y\) and \(y=\frac{m}{x^2+2 n x+1}\) then \(m^2=\)
- A \(1-n^2\)
- B \(1+n\)
- C \(1-n\)
- D \(n^2-1\)
Answer & Solution
Correct Answer
(A) \(1-n^2\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Given, } x \sin (\alpha+y)=\sin y \text { and } y=\frac{m}{x^2+2 n x+1} \\ & x \sin (\alpha+y)=\sin y \\ & \Rightarrow \frac{\sin (\alpha+y)}{\sin y}=\frac{1}{x} \\ & \Rightarrow \frac{\sin \alpha \cos y+\cos \alpha \sin y}{\sin y}=\frac{1}{x} \\ &…
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