No.
No.
No.
No. Both foci are always inside the ellipse, otherwise you don't have an ellipse.
No. Both foci are always inside the ellipse, otherwise you don't have an ellipse.
No. Both foci are always inside the ellipse, otherwise you don't have an ellipse.
No, and there are two of them!
False
An ellipse has 2 foci. They are inside the ellipse, but they can't be said to be at the centre, as an ellipse doesn't have one.
The two centers of an ellipse are called the foci (singular: focus). The foci are two distinct points along the major axis of the ellipse, and the sum of the distances from any point on the ellipse to these two foci is constant. Additionally, the center of the ellipse, which is the midpoint between the foci, is another important point but is distinct from the foci themselves.
An ellipse, a hyperbola.
Foci.
As the foci of an ellipse move closer together, the eccentricity of the ellipse decreases. Eccentricity is a measure of how elongated the ellipse is, defined as the ratio of the distance between the foci to the length of the major axis. When the foci are closer, the ellipse becomes more circular, resulting in a lower eccentricity value, approaching zero as the foci converge to a single point.