Is Ellipse a Conic Section?
Checking if Ellipse is a Conic Section
Ellipse is the locus of all the points in a plane, whose sum of the distance from two fixed points is the same.
It is represented as:
A conic section is a curve obtained as the intersection of a plane and a right circular cone.
We can consider an ellipse as a closed type of conic section. Based on the angle between the cone and the plane surface, the intersection will produce four different types of conic sections, such as a circle, ellipse, parabola, and hyperbola. The shape ellipse is formed when the plane surface intersects the cone at a right angle with respect to its base.
Therefore, an ellipse is a conic section.