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Conics - Ellipse
- Lesson: 1a30:00
- Lesson: 1b21:23
Conics - Ellipse
Lessons
ellipse: the sum of the distances from any point on an ellipse to each focus is constant and equal to the major axis 2a.
c=a2−b2 a: distance from the center to a vertex
b: distance from the center to a co-vertex
c: distance from the center to a focus
e=ac e: eccentricity; the larger the value of e, the more "squished" the ellipse
c=a2−b2 a: distance from the center to a vertex
b: distance from the center to a co-vertex
c: distance from the center to a focus
e=ac e: eccentricity; the larger the value of e, the more "squished" the ellipse
- 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) eccentricitya)(5x−7)2+(3y+4)2=1b)(12x)2+(13y)2=1