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 foot of perpendicular drawn from the centre of the ellipse x^(2)+3y^(2)=6 on any tangent to it is-

Find the foot of the perpendicular from the point (2,4) upon x+y=1.

Find the coordinates of the foot of the perpendicular drawn from the point (2,-5) on the straight line x=y+1.

The locus of the foot of the perpendicular from the center of the hyperbola x y=1 on a variable tangent is

If two points are taken on the minor axis of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 at the same distance from the center as the foci, then prove that the sum of the squares of the perpendicular distances from these points on any tangent to the ellipse is 2a^2dot

A circle of radius r passes through the origin and intersects the x-axis and y-axis at P and Q respectively. Show that the equation to the locus of the foot of the perpendicular drawn form the origin upon the line segment bar (PQ) is (x^(2)+y^(2))^(3)=4r^(2)x^(2)y^(2) .

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

The coordinates of the foot of the perpendicular drawn from the point P(x,y,z) upon the zx- plane are-

Find the locus of the midpoints of the all chords drawn from the ends points of the minor axis of an ellipse x^2/a^2+y^2/b^2=1