Use the Result, "The Set of Parametric Equations for the Ellipse

question 114

Multiple Choice

Use the result, "the set of parametric equations for the ellipse is $x = h + a \cos \theta , y = k + b \sin \theta$ " to find a set of parametric equations for the ellipse with vertices $( 3,11 )$ and $( 3,1 )$ and with foci at $( 3,9 )$ and $( 3,3 )$ .

• A) \(x = 4 \sin \theta , y = 5 \cos \theta\)
• B) \(x = 6 + 5 \cos \theta , y = 3 + 4 \sin \theta\)
• C) \(x = 5 \cos \theta , y = 4 \sin \theta\)
• D) \(x = 3 - 5 \cos \theta , y = 6 - 4 \sin \theta\)
• E) \(x = 3 + 5 \cos \theta , y = 6 + 4 \sin \theta\)

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