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

JEE Advanced 2013 Mathematics question

A curve passes through the point . Let the slope of the curve at each point (x, y) be , x > 0. Then the equation of the curve is

Answer: (A)

Homogeneous equation: put y = vx, so .

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Question ID VK-026169