Question

Find a polar equation of the conic in terms of r with its focus at the pole. Conic Eccentricity Directrix Parabola e = 1 x = −1

Answer 1

Answer:

Step-by-step explanation:

From the given information:

The Directrix  x = - 1

The eccentricity  e = 1

Since the Directrix x = - 1, it implies that the directrix appears on the left negative side of the pole and is vertical.

Hence, the conic equation in terms of r is:

$\mathsf{r =\dfrac{ep}{1-e \ cos \ \theta}}$

From the directrix to the pole, the distance p = 1

So;

$\mathsf{r =\dfrac{1*1}{1-1 \ cos \ \theta}}$

$\mathbf{r =\dfrac{1}{1- \ cos \ \theta}}$