Pre-cal - Ellipse

Ellipse

Is the set of all points in a plane such that the sum of the distances from two points (foci) is a constant

Focus

Has 2. Always lie on the major axis

Center

The midpoint between the 2 foci. The major and minor axis intersect at this point at 90 degrees

Major Axis

It is the distance between the end vertices. Center divides the _______ into 2 equal halves.

Minor Axis

It is the distance between the end co-vertices. Center divides the ______ into 2 halves.

Major Radius

c

a

Major Radius represented by _____

Minor Radius

Minor axis each half is called _______

b

Minor Radius represented by _______

Vertex

It is the point where the ellipse intersects the major axis.

Co-vertex

It is the point where the ellipse intersects the minor axis

x squared/a squared + y squared/b squared = 1 and x squared/b squared + y squared/ a squared = 1

Standard form of Ellipse