Which Set of Parametric Equations Represents the Following Line or Conic

Which set of parametric equations represents the following line or conic?
Use $x = h + a \sec \theta$ and $y = k + b \tan \theta$ .
Hyperbola: vertices $\quad ( 5 , - 3 ) , ( 11 , - 3 )$
foci $( 0 , - 3 ) , ( 16 , - 3 )$

A)
$\begin{array} { l } x = - 8 + \sqrt { 55 } \sec \theta \\y = 3 + 3 \tan \theta\end{array}$
B)
$\begin{array} { l } x = 8 + \sqrt { 55 } \sec \theta \\y = - 3 + 3 \tan \theta\end{array}$
C)
$\begin{array} { l } x = - 3 + \sqrt { 55 } \sec \theta \\y = 8 + 3 \tan \theta\end{array}$
D)
$\begin{array} { l } x = 8 + 3 \sec \theta \\y = - 3 + \sqrt { 55 } \tan \theta\end{array}$
E)
$\begin{array} { l } x = - 3 + 3 \sec \theta \\y = 8 + \sqrt { 55 } \tan \theta\end{array}$

Correct Answer:

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