Question

The minimum and maximum distances from a focus to a point on an ellipse occur when that point on the ellipse is an endpoint of the major axis (a vertex).

Please select the best answer from the choices provided

T
F

Answer 1

The answer to your question is True

Answer 2

The answer is True.

Step-by-step explanation:
Let a = major axis
Let b = minor axis
Let c = focal length.

Consider the right focus, located a distance c from the center of the ellipse (at the origin).
From the right focus to the right point on the major axis is equal to a-c. This is the minimum distance.
From the right focus to the left point on the major axis is equal to a+c. This is the maximum distance.