WBJEE · Maths · Differentiation
For \(y=\sin ^{-1}\left\{\frac{5 x+12 \sqrt{1-x^{2}}}{13}\right\} ;|x| \leq 1\), if \(a\left(1-x^{2}\right) y_{2}+b x y_{1}=0\) then \((a, b)=\)
- A \((2,1)\)
- B \((1,-1)\)
- C \((-1,1)\)
- D \((1,2)\)
Answer & Solution
Correct Answer
(B) \((1,-1)\)
Step-by-step Solution
Detailed explanation
\(y=\sin ^{-1}\left(\frac{5 x+12 \sqrt{1-x^{2}}}{13}\right)\) Let \(\sin \theta_{1}=\frac{5}{13}\) and \(\cos \theta_{2}=x\)…
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