The locus ofthe foot of the perpendicular from the centre of the hyperbola

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

The locus of the foot of perpendicular drawn from the centre of the hyperbola x^(2)-y^(2)=25 to its normal.

The locus of the foot of the perpendicular from the centre of the ellipse x^2 +3y^2 =3 on any tangent to it is

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

The locus of the foot of the perpendicular from the centre of the ellipse x^2/a^2+y^2/b^2=1 on any tangent is given by (x^2 + y^2)^2 = lx^2+my^2 , where:

The locus of the foot of the perpendicular drawn from the centre of the ellipse (x^(2))/( a^(2)) +(y^(2))/( b^(2)) =1 to any of its tangents 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-

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 :