Question

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

Answer 1

Answer:

The  equation is  $r = \frac{4 }{ 1 + cos (\theta )}$

Step-by-step 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

         $r = \frac{e * c }{ 1 + ecos (\theta )}$

So

         $r = \frac{1 * 4 }{ 1 + 1 * cos (\theta )}$

        $r = \frac{4 }{ 1 + cos (\theta )}$