56 Find a polar equation for the conic that has its focus at thepole and satisfies the
Chapter 10, Problem 5(choose chapter or problem)
Find a polar equation for the conic that has its focus at the pole and satisfies the stated conditions. Points are in polar coordinates and directrices in rectangular coordinates for simplicity. (In some cases there may be more than one conic that satisfies the conditions.)
(a) Ellipse; \(e=\frac{3}{4}\); directrix \(x=2\).
(b) Parabola; directrix \(x=1\).
(c) Hyperbola; \(e=\frac{4}{3}\); directrix \(y=3\).
Equation Transcription:
Text Transcription:
e=3/4
x=2
x=1
e=4/3
y=3
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