SOLUTION: Find a polar equation of a hyperbola with its focus at the pole, an eccentricity of e ={{{5/4}}}, and directrix at {{{y=4}}}, thank you.

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Question 1081117: Find a polar equation of a hyperbola with its focus at the pole, an eccentricity of e =5%2F4, and directrix at y=4, thank you.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Find a polar equation of a hyperbola with its focus at the pole, an eccentricity of e+=5%2F4, and directrix at y=4, thank you.

r=ek%2F%281%2B+e%2Asin+%28theta%29%29

r=%28%285%2F4%29%2A4%29%2F%281%2B+%285%2F4%29sin%28theta%29%29

r=5%2F%281%2B+%285%2F4%29sin+%28theta%29%29

or
r=20%2F%285sin+%28theta%29%2B4%29


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