For the parabola `y^2=4ax`, the ratio of the subtangent to the abscissa is

For the parabola y^(2) = 16x , the ratio of the length of the subtangent to the abscissa is

In the parabola y^(2) = 4ax , the tangent at the point P, whose abscissa is equal to the latus ractum meets the axis in T & the normal at P cuts the parabola again in Q. Prove that PT : PQ = 4 : 5.

In the parabola y^(2)=4ax, then tangent at P whose abscissa is equal to the latus rectum meets its axis at T, and normal P cuts the curve again at Q. Show that PT:PQ=4:5

The abscissa of any points on the parabola y^(2)=4ax are in the ratio mu:1. If the locus of the point of intersection at these two points is y^(2)=(mu^((1)/(lambda))+mu^(-(1)/(lambda)))^(2) ax.Then find lambda