A circle of radius r is concentric with the ellipse `(x^2)/(a^(2))+(y^2)/(b^(2))=1`.Then inclination of common tangent with major axis is

A circle of radius 5/sqrt2 is concentric with the ellipse x^(2)/16+y^(2)/9=1 , then the acute angle made by the common tangent with the line sqrt3x-y+6=0 is

Ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) Equation of the circle described on major axis as diameter is

Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose latus rectum is half of its major axis.(a>b)

Length of the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which is inclined to the major axis at angle theta is

Equation of major axis of the ellipse ((x-h)^(2))/(a^(2))+((y-k)^(2))/(b^(2))=1 (a

Find the slope of a common tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and a concentric circle of radius r.

If the circle whose diameter is the major axis of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a gt b gt 0) meets the minor axis at point P and the orthocentre of DeltaPF_(1)F_(2) lies on the ellipse, where F_(1) and F_(2) are foci of the ellipse, then the square of the eccentricity of the ellipse is

Extrremities of the latera recta of the ellipses (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b) having a given major axis 2a lies on

End points of the major axis of the ellipse ((x-h)^(2))/(a^(2))+((y-k)^(2))/(b^(2))=1(a