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

Show that the locus of point of intersection of perpendicular tangents to the parabola y^2=4ax is the directrix x+a=0.

Statement-1: y+b=m_(1) (x+a) and y+b=m_(2)(x+a) are perpendicular tangents to the parabola y^(2)=4ax . Statement-2: The locus of the point of intersection of perpendicular tangents to a parabola is its directrix.

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

Statement-1: The tangents at the extremities of a focal chord of the parabola y^(2)=4ax intersect on the line x + a = 0. Statement-2: The locus of the point of intersection of perpendicular tangents to the parabola is its directrix

The locus of point of intersection of perpendicular tangents drawn to x^(2) = 4ay is

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

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 , is

The locus of the point of intersection of the perpendicular tangents to the parabola x^2=4ay is .

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

Find the locus of the point of intersection of perpendicular tangents to the circle x^(2) + y^(2)= 4