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Ellipse

Concept

Ellipse

An ellipse is the set of points in a plane such that the sum of the distances from two fixed points is constant. These two points are called the foci of the ellipse.
Draw Ellipse

Ellipses have two axes of symmetry

  1. The major axis passes through the foci of the ellipse.
  2. The minor axis crosses the center of the ellipse and is perpendicular to the major axis.

The end points of the major axis are called vertices and the end points of the minor axis are called co-vertices.

Horizontal and vertical ellipses are given by the following two general equations.

In these equations, is the half the length of the major axis and is half the length of the minor axis.