Vertices of Ellipse #shorts

If (-4, 3) and (8, 3) are the vertices of an ellipse whose eccentricity is 5/6 then the equation of the ellipse is

if the vertices of an ellipse are (-12,4) and (14,4) and eccentricity 12/13 , then the equation of the ellipse ,is

if vertices of an ellipse are (-4,1),(6,1) and x-2y=2 is focal chord then the equation of the ellipse is

Consider an ellipse, whose centre is at the origin and its major axis is along x-axis. if its eccentricity is 3/5 and the distance between its foci is 6, then the area (in sq. units) of the quadrilateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, is

Consider an ellipse, whose centre is at the origin and its major axis is along the x-axis. If its eccentricity is and the 3/5 distance between its foci is 6, then the area (in sq, units) of the quadrilateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, is :

(−4,1),(6,1) are the vertices of an ellipse and one of the foci lies on x−2y=2 then the eccentricity is

The co-ordinates of the vertices of the ellipse (X^(2))/(16) + (y^(2))/(9) =1 are

The vertices of the ellipse 9x^(2)+4y^(2)-18x-27 =0 are