MAT136H1 Lecture Notes - Polar Coordinate System, Hyperbola, Ellipse

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Polar equation or represents conic section with eccentricity . The conic is ellipse if , a parabola if , and hyperbola if. When the focus and vertex lie along a vertical line, then is used. When the equation of the directrix lies below the -axis, then use , and it if it is above the -axis, When the focus and vertex lie along a horizontal line, then is used. When the equation of the directrix is to the right side of the -axis, then use , and it if it is to the left of -axis, Write a polar equation of a conic with the focus at the origin and the given data. The polar equation for parabola has the eccentricity. Since the line of directrix is it is a vertical line to the right side of the y-axis.