ELLIPSE | Part 2

The locus of mid points of parts in between axes and tangents of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 will be

The diameter of the largest circle with center (1,0) which is inscribed in the ellipse x^(2)+4y^(2)=16 is k.Then integral part of k is

If F_1 (-3, 4) and F_2 (2, 5) are the foci of an ellipse passing through the origin, then the eccentricity of the ellipse is

If an ellipse has its foci at (2,0) and (-2,0) and its length of the latus rectum is 6, then the equation of the ellipse is:

Let P be a point on the ellipse x^2/100 + y^2/25 =1 and the length of perpendicular from centre of the ellipse to the tangent to ellipse at P be 5sqrt(2) and F_1 and F_2 be the foci of the ellipse, then PF_1.PF_2 .

In Figure,AOBA is the part of the ellipse 9x^(2)+y^(2)=36 in the first quadrant such that OA=2 and OB=6 Find the area between the arc AB and the chord AB.

Introduction OF Ellipse and all Parameters OF Standard and Shifted Ellipse

Suppose an ellipse and a hyperbola have the same pair of foci on the x -axis with centres at the origin and they intersect at (2,2) . If the eccentricity of the ellipse is (1)/(2) , then the eccentricity of the hyperbola, is

if 2y = x and 3y + 4x=0 are the equations of a pair of conjugate diameters of an ellipse , then the eccentricity of the ellipse , is