Which Set of Parametric Equations Represents the Following Line or Conic

question 77

Multiple Choice

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

• 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)
• \(x = 8 + 3 \sec \theta\)
• \(y = - 3 + \sqrt { 55 } \tan \theta\)
• E)
• \(\begin{array} { l }
• x = - 3 + 3 \sec \theta \\
• y = 8 + \sqrt { 55 } \tan \theta
• \end{array}\)

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