The most number of points an ellipse can intersect a circle is _________ point(s).
A) one
B) two
C) three
D) four

Question

Quizplus · Accepted Answer

An ellipse can intersect a circle at a maximum of four points. This can occur when the major axis of the ellipse is equal to the diameter of the circle and the ellipse is positioned symmetrically with respect to the circle. In this case, the ellipse will intersect the circle at four points, two on the major axis and two on the minor axis.

The Most Number of Points an Ellipse Can Intersect a Circle