Show that the locus of the foot of the perpendicular drawn from focus to a tangent to the hyperbola `x^2/a^2 - y^2/b^2 = 1` is `x^2 + y^2 = a^2`.

The locus of the foot of the perpendicular from the foci an any tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

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

Locus of the feet of the perpendiculars drawn from either foci on a variable tangent to the hyperbola 16y^2 -9 x^2 = 1 is

Locus of the feet of the perpendiculars drawn from either foci on a variable tangent to the hyperbola 16y^2 -9 x^2 = 1 is

Show that the locus of the foot of the perpendicular drawn from centre on any tangent to the ellipse b^2x^2+a^2y^2=a^2b^2 is the curve (x^2+y^2)^2=a^2x^2+b^2y^2

The product of the perpendicular from two foci on any tangent to the hyperbola x^2/a^2-y^2/b^2=1 is (A) a^2 (B) (b/a)^2 (C) (a/b)^2 (D) b^2

Find the locus of the foot of the perpendicular drawn from the center upon any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1.

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

The locus of the perpendiculars drawn from the point (a, 0) on tangents to the circlo x^2+y^2=a^2 is

the locus of the foot of perpendicular drawn from the centre of the ellipse x^2+3y^2=6 on any point: