" The locus of three feet of the perpendiculars from centre of the ellipse "(x^(2))/(a^(2))+(y^(2))/(b^(2))=1" to any tangent is "

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

Show that the feet of the perpendiculars from the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 on any of its tangents lie on its auxiliary circle

The locus of foot of perpendicular from focus of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 to its tangents 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 product of the perpendiculars from the foci of the ellipse (x^(2))/(16)+(y^(2))/(4)=1 onto any tangent to the ellipse is

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