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

---

Definitions:

MMPI

The Minnesota Multiphasic Personality Inventory, a comprehensive psychological questionnaire designed to assess a variety of psychological conditions.

Assessment Instruments

Tools or methods used to evaluate, measure, or gauge the abilities, skills, or performance of individuals or groups.

Socioeconomic Groups

Categories of people sharing similar levels of wealth, income, education, and occupational status.

Generalized Anxiety Disorder

A mental health disorder characterized by persistent and excessive worry about a number of different things.