Prove that the product of the perpendicular from the foci on any tangent to an ellipse is equal to the square of the semi-minor axis.

Product of perpendiculars drawn from the foci upon any tangent to the ellipse 3x^(2)+4y^(2)=12 is

The product of the perpendiculars drawn from the two foci of an ellipse to the tangent at any point of the ellipse is

The product of the perpendiculars from the foci on any tangent to the hyperbol (x^(2))/(64)-(y^(2))/(9)=1 is

Prove that the product of the perpendiculars from the foci upon any tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is b^(2)

The product of the perpendiculars from the foci of the ellipse x^2/144+y^2/100=1 on any tangent 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

Prove that in an ellipse,the perpendicular from a focus upon any tangent and the line joining the centre of the ellipse to the point of contact meet on the corresponding directrix.