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 $( - 10 , - 1 ) , ( 2 , - 1 )$
foci $( - 11 , - 1 ) , ( 3 , - 1 )$

A)
$\begin{array} { l } x = 4 + \sqrt { 13 } \sec \theta \\y = 1 + 6 \tan \theta\end{array}$
B)
$\begin{array} { l } x = - 4 + \sqrt { 13 } \sec \theta \\y = - 1 + 6 \tan \theta\end{array}$
C)
$\begin{array} { l } x = - 1 + \sqrt { 13 } \sec \theta \\y = - 4 + 6 \tan \theta\end{array}$
D)
$x = - 4 + 6 \sec \theta$
$y = - 1 + \sqrt { 13 } \tan \theta$
E)
$\begin{array} { l } x = - 1 + 6 \sec \theta \\y = - 4 + \sqrt { 13 } \tan \theta\end{array}$

Correct Answer:

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