Eccentricity of the ellipse $9{x^2} + 25{y^2} = 225$ is
$\frac{3}{5}$
$\frac{4}{5}$
$\frac{9}{{25}}$
$\frac{{\sqrt {34} }}{5}$
If a number of ellipse be described having the same major axis $2a$ but a variable minor axis then the tangents at the ends of their latera recta pass through fixed points which can be
The centre of the ellipse $4{x^2} + 9{y^2} - 16x - 54y + 61 = 0$ is
A point on the ellipse, $4x^2 + 9y^2 = 36$, where the normal is parallel to the line, $4x -2y-5 = 0$ , is
The equation of the normal at the point $(2, 3)$ on the ellipse $9{x^2} + 16{y^2} = 180$, is