12.5 Conic sections in polar coordinates  (Page 4/8)

Explain how eccentricity determines which conic section is given.

If a conic section is written as a polar equation, what must be true of the denominator?

If a conic section is written as a polar equation, and the denominator involves $\sin \theta ,$ what conclusion can be drawn about the directrix?

If the directrix of a conic section is perpendicular to the polar axis, what do we know about the equation of the graph?

What do we know about the focus/foci of a conic section if it is written as a polar equation?

$r=\frac{6}{1-2\cos \theta }$

$r=\frac{3}{4-4\sin \theta }$

$r=\frac{8}{4-3\cos \theta }$

$r=\frac{5}{1+2\sin \theta }$

$r=\frac{16}{4+3\cos \theta }$

$r=\frac{3}{10+10\cos \theta }$

$r=\frac{2}{1-\cos \theta }$

$r=\frac{4}{7+2\cos \theta }$

$r(1-\cos \theta )=3$

$r(3+5\sin \theta )=11$

$r(4-5\sin \theta )=1$

$r(7+8\cos \theta )=7$