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Lecture 29

MTH 108 Lecture 29: 9.6 Polar Equations of Conics Notes
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Department
Mathematics
Course
MTH 108
Professor
Lun- Yi Tsai
Semester
Fall

Description
MTH 108 Precalculus Mathematics II 9.6 Polar Equations of Conics Notes L. Sterling Abstract 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. Distances Point and Fixed Point The distance between any point and a fixed point would be the following: d(P;F) Point and Fixed Line The distance between any point and a fixed line would be the following: d(P;l) Ratio The ratio between the point and fixed point along with the point and its fixed line would be expressed by the following ratio: d(P;F) d(P;l) Conic Section 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) d(P;l) Eccentricity When it comes to conics, e would the conic’s eccentricity. Directrix When it comes to conics, l, which is the fixed line, is also known as the conic’s directrix. 1 Focus When it comes to conics, F, which is the fixed point, is also known as the conic’s focus. Conics by Conic Section Conic Classification Ellipse 0 < e < 1 Hyperbola
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