Conics - Ellipse

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

Get the most by viewing this topic in your current grade. Pick your course now.

  1. properties of an ellipse
    Sketch each ellipse and state the:
    i) center
    ii) major axis and vertices
    iii) minor axis and co-vertices
    iv) foci
    v) eccentricity
    1. (x75)2+(y+43)2=1(\frac{x-7}{5})^2 + (\frac{y+4}{3})^2=1
    2. (x12)2+(y13)2=1(\frac{x}{12})^2 + (\frac{y}{13})^2=1
Topic Notes
ellipse: the sum of the distances from any point on an ellipse to each focus is constant and equal to the major axis 2a2a.
c=a2b2c= \sqrt{a^2 - b^2} aa: distance from the center to a vertex
bb: distance from the center to a co-vertex
cc: distance from the center to a focus

e=cae= \frac{c}{a} ee: eccentricity; the larger the value of ee, the more "squished" the ellipse