A curve passes through the point | Maths| JEE Advanced 2013

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JEE Advance 2013

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Question

A curve passes through the point $\left(1, \frac{\pi}{6}\right)$. Let the slope of the curve at each point $(x, y)$ be $\frac{y}{x}+\sec \left(\frac{y}{x}\right)$, $x>0$. Then the equation of the curve is

Select the correct option:

A

$\sin \left(\frac{y}{x}\right)=\log x+\frac{1}{2}$

B

$\operatorname{cosec}\left(\frac{y}{x}\right)=\log x+2$

C

$\sec \left(\frac{2 y}{x}\right)=\log x+2$

D

$\cos \left(\frac{2 y}{x}\right)=\log x+\frac{1}{2}$

✓ Correct! Well done.

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