Write a polar equation of the conic that has a focus at the origin, eccentricity $\frac { 7 } { 2 }$, and directrix $y = - 7$. Identify the conic.
A)
$r = \frac { 49 } { 2 - 7 \cos \theta }$, hyperbola
B)
$r = \frac { 49 } { 2 - 7 \sin \theta }$, hyperbola
C) $r = \frac { 49 } { 2 - \sin \theta }$, ellipse
D) $r = \frac { 49 } { 2 - \cos \theta }$, ellipse

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The Answer of Write a polar equation of the conic that has a focus at the origin, eccentricity $\frac { 7 } { 2 }$, and directrix $y = - 7$. Identify the conic.
A)
$r = \frac { 49 } { 2 - 7 \cos \theta }$, hyperbola
B)
$r = \frac { 49 } { 2 - 7 \sin \theta }$, hyperbola
C) $r = \frac { 49 } { 2 - \sin \theta }$, ellipse
D) $r = \frac { 49 } { 2 - \cos \theta }$, ellipse

Write a Polar Equation of the Conic That Has a Focus