Problem

Statement I The ratio of length of tangent to length of normal is inversely proportional to the ordinate of the point of tangency at the curve

y^2 = 4ax

. Statement II Length of normal and tangent to a curve

y = f(x) \text{ is } \left| y \sqrt{1 + m^2} \right| \text{ and } \left| \frac{y \sqrt{1 + m^2}}{m} \right|

where

m = \frac{dy}{dx}