The locus of point of intersection of two normals drawn to the parabola `y^2 = 4ax` which are at right angles is

The locus of the point of intersection of those normals to the parabola x^2 = 8y which are at right angles to each other, is a parabola. Which of the following hold (s) good in respect of the loucus ?

Find the locus of thepoint of intersection of two normals to a parabolas which are at right angles to one another.

Find the locus of thepoint of intersection of two normals to a parabolas which are at right angles to one another.

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make complementary angles with the axis of the parabola is

The locus of point of intersection of perpendicular tangent to parabola y^2= 4ax

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make the angles theta_(1) and theta_(2) with the axis so that cot theta_(1)+cot theta_(2) = c is

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make the angles theta_(1) and theta_(2) with the axis so that cot theta_(1)+cot theta_(2) = k is

The locus of the point of intersection of the tangents to the parabola y^2 = 4ax which include an angle alpha is

Prove that the locus of point of intersection of two perpendicular normals to the parabola y^(2) = 4ax isl the parabola y^(2) = a(x-3a)

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is