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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) ) = log x + 1/2`

B

` cosec ((y)/(x)) = log x + 2`

C

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

D

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

Text Solution

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The correct Answer is:
A
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