The equation $\frac{x^2}{10-a} + \frac{y^2}{4-a} = 1$ represents an ellipse when:

The foci of the ellipse $25x^2 + 4y^2 + 100x - 4y + 100 = 0$ are

If the angle between the straight lines joining the foci and the ends of the minor axis of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is $90^{\circ}$,then its eccentricity is

The equation $2x^2 + 3y^2 = 30$ represents

In an ellipse,its foci and the ends of its major axis are equally spaced. If the length of its semi-minor axis is $2 \sqrt{2}$,then the length of its semi-major axis is

The longest distance of the point $(a, 0)$ from the curve $2x^2+y^2=2x$ is