The slope of the tangent at \[(x,y)\]to a curve passing through \[\left( 1,\frac{\pi }{4} \right)\]is given by \[\frac{y}{x}-{{\cos }^{2}}\left( \frac{y}{x} \right)\], then the equation of the curve is [Kurukshetra CEE 2002]

\[y={{\tan }^{-1}}\left[ \log \left( \frac{e}{x} \right) \right]\]

\[y=x{{\tan }^{-1}}\left[ \log \left( \frac{x}{e} \right) \right]\]

\[y=x{{\tan }^{-1}}\left[ \log \left( \frac{e}{x} \right) \right]\]

The slope of the tangent at \[(x,y)\]to a curve passing through \[\lef

1.	The slope of the tangent at \[(x,y)\]to a curve passing through \[\left( 1,\frac{\pi }{4} \right)\]is given by \[\frac{y}{x}-{{\cos }^{2}}\left( \frac{y}{x} \right)\], then the equation of the curve is [Kurukshetra CEE 2002]
A.	\[y={{\tan }^{-1}}\left[ \log \left( \frac{e}{x} \right) \right]\]
B.	\[y=x{{\tan }^{-1}}\left[ \log \left( \frac{x}{e} \right) \right]\]
C.	\[y=x{{\tan }^{-1}}\left[ \log \left( \frac{e}{x} \right) \right]\]
D.	None of these
Answer» D. None of these

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The slope of the tangent at \[(x,y)\]to a curve passing through \[\left( 1,\frac{\pi }{4} \right)\]is given by \[\frac{y}{x}-{{\cos }^{2}}\left( \frac{y}{x} \right)\], then the equation of the curve is [Kurukshetra CEE 2002]

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