Hyperbola - Distance

This is a graph of a hyperbola. a and b represent the distance between the foci to a point on the right half of the hyperbola. d and e represent the distance between the foci to a point on the left half of the hyperbola. A and B are the foci of the hyperbola.[br][br]1. Drag the points on the hyperbola. Does the difference between the two segments remain constant?[br][br]2. Drag points A and B to adjust the hyperbola. is the difference between the segments the same? Does it still remain constant no matter the point on the hyperbola?

Information: Hyperbola - Distance