JEE Advanced 2013 Paper 1 Mathematics Q6

Mathematics

Problem

A curve passes through the point (1,π/6)(1,\pi/6). Let the slope of the curve at each point (x,y)(x,y) be y/x+sec⁡(y/x)y/x+\sec(y/x), x>0x>0. Then the equation of the curve is

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