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A curve passes through the point (1,(pi)...

A curve passes through the point `(1,(pi)/(6)).` Let the slope of the curve at eact point (x,y) be `(y)/(x)+sec((y)/(x)),xgt0.` Then, the equation of the curve is

A

`sin(y/x)= logx+(1)/(2)`

B

`"cosec"(y/x)=logx +2`

C

`sec((2y)/(x))= logx+2`

D

`cos((2y)/(x))= log x+(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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