WBJEE · Maths · Basic of Mathematics
Let \(\cos ^{-1}\left(\frac{y}{b}\right)=\log \left(\frac{x}{n}\right)^{n}\). Then
- A \(x^{2} y_{2}+x y_{1}+n^{2} y=0\)
- B \(x y_{2}-x y_{1}+2 n^{2} y=0\)
- C \(x^{2} y_{2}+3 x y_{1}-n^{2} y=0\)
- D \(x y_{2}+5 x y_{1}-3 y=0\)
Answer & Solution
Correct Answer
(A) \(x^{2} y_{2}+x y_{1}+n^{2} y=0\)
Step-by-step Solution
Detailed explanation
Hint: \(\cos ^{-1}\left(\frac{y}{b}\right)=\log \left(\frac{x}{n}\right)^{n}=n \times \log \left(\frac{x}{n}\right)\) \(\Rightarrow-\frac{1}{\sqrt{b^{2}-y^{2}}} \cdot y_{1}=\frac{n}{x}\)…
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