Length of the shortest normal chord of the parabola `y^2=4ax` is

Show that the shortest length of the normal chord to the parabola y^(2) = 4ax is 6sqrt(3a)

Locus of the intersection of the tangents at the ends of the normal chords of the parabola y^(2) = 4ax is

Prove that the the middle points of the normal chords of the parabola y^(2)=4ax is on the curve (y^(2))/(2a)+(4a^(3))/(y^(2))=x-2a

Length of the focal chord of the parabola y^2=4ax at a distance p from the vertex is:

Length of the focal chord of the parabola y^(2)=4ax at a distance p from the vertex is:

Length of the focal chord of the parabola y^2=4ax at a distance p from the vertex is:

The locus of the point of intersection of tangents drawn at the extremities of a normal chord to the parabola y^2=4ax is the curve