Locus of foot of perpendicular from focus upon any tangent is tangent at vertex

The locus of foot of perpendicular from the focus upon any tangent to the parabola y^(2) = 4ax is

The locus of feet of perpendiculars from the focii upon any tangent is an auxilliary circle.

the foot of perpendicular from a focus on any tangent to the ellipse x^2/4^2 + y^2/3^2 = 1 lies on the circle x^2 + y^2 = 25 . Statement 2: The locus of foot of perpendicular from focus to any tangent to an ellipse is its auxiliary circle.

The locus of the foot of perpendicular from the forcus on any tangent to y^(2) = 4ax is

Show that the locus of the foot of the perpendicular from the focus to the tangent of the parabola

The locus of foot of the perpendiculars drawn from the focus on a variable tangent to the parabola y^2 = 4ax is

The locus of foot of the perpendiculars drawn from the focus on a variable tangent to the parabola y^2 = 4ax is

Let the two foci of an ellipse be (-1,0) and (3,4) and the foot of perpendicular from the focus (3,4) upon a tangent to the ellipse be (4,6). The foot of perpendicular from the focus (-1,0) upon the same tangent to the ellipse is