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Find a polar equation r for the conic with its focus at the pole and the given eccentricity and directrix. (For convenience, the equation for the directrix is given in rectangular form.)

Conic: Parabola Eccentricity: e = 1 Directrix: y = 4

User Wingr
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1 Answer

2 votes

Answer:

The equation is
r = (4 )/( 1 + cos (\theta ))

Explanation:

From the equation we are told that

The Eccentricity: e = 1

The Directrix is y = 4

Generally the polar equation for e = 1 and y = + c is mathematically represented as


r = (e * c )/( 1 + ecos (\theta ))

So


r = (1 * 4 )/( 1 + 1 * cos (\theta ))


r = (4 )/( 1 + cos (\theta ))

User Graffic
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