Ellipse: The set of all points in a plane such that the sum of the
distances from each point to two fixed points in that plane is a constant
(2a).
(a) The two fixed points are called foci
(b) the major axis is the longer axis (2a)
(c) The foci are located on the major axis
a= the lenght of the semi-major axis
b= the lenght of the semi-minor axis
c= distance form center to focus
P,Q,R,S, are vertices
a^2 - b^2 = c^2
Latus Rectum: (2b^2 / a)
Standard Form:
Horizontal ((x-h)^2 / (a^2)) + ((y-k)^2 / (b^2)) = 1
Vertical ((x-h)^2 / (b^2)) + ((y-k)^2 / (a^2)) = 1
General Form:
Ax^2 + Cy^2 + Dx + Ey + F= 0
A,C nulset 0
A nulset C
