The sum fo the squares of the perpendicular on any tangent to the ellipse `x^(2)/a^(2) + y^(2)/b^(2) = 1` from two points on the mirror axis, each at a distance `sqrt(a^(2) - b^(2))` from the centre, is

The sum of the squares of the perpendiculars on any tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 from two points on the minor axis each at a distance a e from the center is (a) 2a^2 (b) 2b^2 (c) a^2+b^2 a^2-b^2

The sum of the squares of the perpendiculars on any tangent to the ellipse a 2 x 2 ​ + b 2 y 2 ​ =1 from two points on the minor axis, each at a distances ae from the centre, 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 distance of the point 'theta' on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 from a focus, 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

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

Prove that the product of the perpendicular from the foci on any tangent to the ellips (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 is equal to b^(2)

Find the equations of the tangent drawn to the ellipse (x^(2))/(3) + y^(2) =1 from the point (2, -1 )

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 the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , which make complementary angles with x - axis, is