Using the method of completing the square, identify the conic section C. C. Sketch a graph of C. C. Find, foci and asymptotes (if any). Given is the polar equation r= 2 1−2cosθ. r = 2 1 − 2 cos θ.

Conic Sections: Ellipses The most familiar type of conic section is the Ellipse, which can be easily drawn with some simple tools (Figure a.). Click on image to enlarge - From Seeds (1998) Note some ...

The hyperbola, if extended,crosses the central major axis at the opposite (missing) end of the ellipse. Conics were described by Appolonius of Perga (c200BCE).

4. Consider the polar equation r(3−kcosθ) = 4. r (3 k cos θ) = 4 For what values of the constant k k is this conic section an ellipse? Now assume that k k has the value in the middle of the interval ...