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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 each point (x,y) be `(y)/(x)+sec(y/x), x gt 0 ` . Then the equation of the curve is :

A

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

B

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

C

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

D

`log x +1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
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