Difference of Focal radii of any point is equal to the length of major axis

Prove that the sum of the focal distance of any point on the ellipse is constant and is equal to the length of the major axis.

Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lie on it

Theorem: The sum of the focal diatances of any point on an ellipse is constant and equal to the length of the major axis of the ellipse.

The length of latus rectum of an ellipse is equal to the length of its semi-minor axis . The ratio of lengths of its minor axis and major axis is _

The length of the latus rectum of an ellipse with major axis along x-axis and centre at origin is 12 units, distance between th e focus and the origin is equal to length of minor axis. Find the length of the major axis and minor axis.

What is the sum of focal radii of any point on an ellipse equal to ?

The difference of focal distances of any point on a hyperboal is equal to-