SOLUTION: Find a polar equation of an ellipse with its focus at the pole, an eccentricity of e ={{{1/4}}}, and directrix at {{{y=4}}}

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Question 1081118: Find a polar equation of an ellipse with its focus at the pole, an eccentricity of e =1%2F4, and directrix at y=4
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find a polar equation of an ellipse with its focus at the pole, an eccentricity of e+=1%2F4, and directrix at y=4=k

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

r=%28%281%2F4%294%29%2F%281%2B+%281%2F4%29%2Acos+%28theta%29%29

r=1%2F%281%2B+%281%2F4%29%2Acos+%28theta%29%29
or
r=4%2F%28cos+%28theta%29%2B4%29

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