The eccentricity e of an ellipse is defined as the number c/a, where a and c are the numbers in the defining equation. Because a>c ,it follows that c<1. Describe the shape of an ellipse where a) e is close to 0
b) e is close to 1
With e close to 0, the ellipse approaches a circle and with e close to 1, the ellipse major axis approaches infinity and the minor axis approaches o.