The lengths of major and minor axis of an ellipse are $10$ and $8$ respectively and its major axis along the $y$ - axis. The equation of the ellipse referred to its centre as origin is
$\frac{{{x^2}}}{{25}} + \frac{{{y^2}}}{{16}} = 1$
$\frac{{{x^2}}}{{16}} + \frac{{{y^2}}}{{25}} = 1$
$\frac{{{x^2}}}{{100}} + \frac{{{y^2}}}{{64}} = 1$
$\frac{{{x^2}}}{{64}} + \frac{{{y^2}}}{{100}} = 1$
The co-ordinates of the foci of the ellipse $3{x^2} + 4{y^2} - 12x - 8y + 4 = 0$ are
Let $E$ be the ellipse $\frac{{{x^2}}}{9} + \frac{{{y^2}}}{4} = 1$ and $C$ be the circle ${x^2} + {y^2} = 9$. Let $P$ and $Q$ be the points $(1, 2)$ and $(2, 1)$ respectively. Then
The locus of the poles of normal chords of an ellipse is given by
The eccentricity of the ellipse $4{x^2} + 9{y^2} + 8x + 36y + 4 = 0$ is
Equation of the ellipse whose axes are the axes of coordinates and which passes through the point $(-3,1) $ and has eccentricity $\sqrt {\frac{2}{5}} $ is