In an ellipse, the distance between its foci is $6$ and minor axis is $8.$ Then its eccentricity is :
$\frac{3}{5}$
$\frac{1}{2}$
$\frac{4}{5}$
$\frac{1}{\sqrt 5}$
Find the equation for the ellipse that satisfies the given conditions: Centre at $(0,\,0),$ major axis on the $y-$ axis and passes through the points $(3,\,2)$ and $(1,\,6)$
If the normal at any point $P$ on the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$ meets the co-ordinate axes in $G$ and $g$ respectively, then $PG:Pg = $
Let $C$ be the largest circle centred at $(2,0)$ and inscribed in the ellipse $=\frac{x^2}{36}+\frac{y^2}{16}=1$.If $(1, \alpha)$ lies on $C$, then $10 \alpha^2$ is equal to $.........$
The point $(4, -3)$ with respect to the ellipse $4{x^2} + 5{y^2} = 1$
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 :