Section 11.7 – Conics in Polar Coordinates If e 1, the conic is a hyperbola. The ratio of the distance from a fixed point (focus) to a point on the conic to the distance from the point to the directrix is the eccentricity of a conic. It is a constant ratio and is denoted by e. Eccentricity F P D

Section 11.7 – Conics in Polar Coordinates Polar Equation for a Conic with Eccentricity e The vertical directrix is represented by k. The horizontal directrix is represented by k. To use these polar equations, a focus is located at the origin.

Section 11.7 – Conics in Polar Coordinates Given the eccentricity and the directrix corresponding to the focus at the origin, find the polar equation.

Section 11.7 – Conics in Polar Coordinates Given the eccentricity and the directrix corresponding to the focus at the origin, find the polar equation.

Section 11.7 – Conics in Polar Coordinates Polar Equation of an Ellipse with Eccentricity e and Major Axis a

Section 11.7 – Conics in Polar Coordinates Given the polar equation, find the directrix that corresponds to the focus at the origin, the polar coordinates of the vertices and the center

Section 11.7 – Conics in Polar Coordinates y