The normal meet the parabola `y^2 =4ax` at that point where the abscissa of the point is equal to the ordinate of the point is

The normal to the parabola y^(2)=8ax at the point (2, 4) meets the parabola again at the point

The normal to parabola y^(2) =4ax from the point (5a, -2a) are

The normals to the parabola y^(2)=4ax from the point (5a,2a) is/are

If normal to the parabola y^(2)-4ax=0 at alpha point intersects the parabola again such that the sum of ordinates of these two points is 3, then show that the semi-latus rectum is equal to -1.5 alpha.

If normal to parabola y^(2) - 4ax =0 at alpha point intersec the parabola again such that sum of ordinates of these two point is 3, then semi latus rectum of the parabola is given by

The normal chord of y^(2)=4ax at a point where abscissa is equal to ordinate subtends at the focus an angle theta