Number of tangent(s) which can be drawn to the ellipse `16 x^2+25 y^2=400` such that sum of perpendicular distance from the foci to the tangent is 8.

The number of tangents that can be drawn to y=e^(x) from (pi, 0) is

Statement 1 : For the ellipse (x^2)/5+(y^2)/3=1 , the product of the perpendiculars drawn from the foci on any tangent is 3. Statement 2 : For the ellipse (x^2)/5+(y^2)/3=1 , the foot of the perpendiculars drawn from the foci on any tangent lies on the circle x^2+y^2=5 which is an auxiliary circle of the ellipse.

The number of real tangents that can be drawn to the ellipse 3x^(2)+5y^(2)=32 passing through (3,5) is

The number of real tangents that can be drawn to the ellipse 3x^(2)+5y^(2)=32 passing through (3,5) is

The tangents from which of the following points to the ellipse 5x^(2)+4y^(2)=20 are perpendicular

The tangents drawn from the point P to the ellipse 5x^(2) + 4y^(2) =20 are mutually perpendi­cular then P =

The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2)=5 , is

How many real tangents can be drawn to the ellipse 5x^(2)+9y^(2)=32 from the point (2,3)?

The number of tangents that can be drawn from (2, 0) to the curve y=x^(6) is/are

If two points are taken on the minor axis of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 at the same distance from the center as the foci, then prove that the sum of the squares of the perpendicular distances from these points on any tangent to the ellipse is 2a^2dot