Which Set of Parametric Equations Represents the Following Line or Conic

question 70

Multiple Choice

Which set of parametric equations represents the following line or conic?
Use $x = h + a \sec \theta$ and $y = k + b \tan \theta$ .
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)
• \(\begin{array} { l }
• x = - 1 + 6 \sec \theta \\
• y = - 4 + \sqrt { 13 } \tan \theta
• \end{array}\)

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