If the length of the minor axis of ellipse is equal to half of the distance between the foci, then the eccentricity of the ellipse is :
$\frac{\sqrt{5}}{3}$
$\frac{\sqrt{3}}{2}$
$\frac{1}{\sqrt{3}}$
$\frac{2}{\sqrt{5}}$
The locus of mid points of parts in between axes and tangents of ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$ will be
The equation of the ellipse whose centre is $(2, -3)$, one of the foci is $(3, -3)$ and the corresponding vertex is $(4, -3)$ is
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\frac{x^{2}}{36}+\frac{y^2} {16}=1$
If the distance between the foci of an ellipse is $6$ and the distance between its directrices is $12$, then the length of its latus rectum is
On the ellipse $\frac{{{x^2}}}{{18}} + \frac{{{y^2}}}{8} = 1$ the point $M$ nearest to the line $2x - 3y + 25 = 0$ is