Precalculus Mathematics II
9.6 Polar Equations of Conics Notes
Provide a generalization to each of the key terms listed in this section.
Fixed Point and Fixed Line
What is the ﬁxed point?
When it comes to polar equations of conics, the ﬁxed point would be F.
What is the ﬁxed line?
When it comes to polar equations of conics, the ﬁxed line would be l.
Point and Fixed Point
The distance between any point and a ﬁxed point would be the following:
Point and Fixed Line
The distance between any point and a ﬁxed line would be the following:
The ratio between the point and ﬁxed point along with the point and its ﬁxed line would be
expressed by the following ratio:
A conic section is a plane’s collection of points, which points are expressed with P, which makes
the following ﬁxed positive number:
e = d(P;F)
When it comes to conics, e would the conic’s eccentricity.
When it comes to conics, l, which is the ﬁxed line, is also known as the conic’s directrix.
When it comes to conics, F, which is the ﬁxed point, is also known as the conic’s focus.
Conics by Conic Section
Ellipse 0 < e < 1