Write the Standard Form of an Equation of the Ellipse $( 6,1 )$

question 56

Multiple Choice

Write the standard form of an equation of the ellipse subject to the given conditions.
-Vertices: $( 6,1 )$ and $( - 12,1 )$
Foci: $( - 3 - \sqrt { 65 } , 1 )$ and $( - 3 + \sqrt { 65 } , 1 )$

• A) \(\frac { ( x - 3 ) ^ { 2 } } { 9 } + \frac { ( y + 1 ) ^ { 2 } } { 4 } = 1\)
• B) \(\frac { ( x + 3 ) ^ { 2 } } { 81 } + \frac { ( y - 1 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( x + 3 ) ^ { 2 } } { 9 } + \frac { ( y - 1 ) ^ { 2 } } { 4 } = 1\)
• D) \(\frac { ( x - 3 ) ^ { 2 } } { 81 } + \frac { ( y + 1 ) ^ { 2 } } { 16 } = 1\)

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