The length of perpendicular from the foci S and S on any tangent to ellipse `(x^(2))/(4)+(y^(2))/(9)=1` are a and c respectively then the value of `ac` is equal to

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

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

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

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

If the loucus of the feet of perpendicular from the foci on any tangent to an ellipse (x^(2))/(4) + (y^(2))/(2) =1 is x^(2) + y^(2) =k , then the value of k is _______.

If the loucus of the feet of perpendicular from the foci on any tangent to an ellipse (x^(2))/(4) + (y^(2))/(2) =1 is x^(2) + y^(2) =k , then the value of k is _______.