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).

For an ellipse with semimajor axis a and focus distance c, the distances from a focus to the two vertices on the major axis are a − c and a + c. These are the shortest and longest possible distances from that focus to the ellipse, so the statement is true. The correct choice is T.

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