Find the Standard Form of the Equation of the Ellipse $( - 5 , - 1 ) , ( - 5,5 )$

question 122

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics.
Foci: $( - 5 , - 1 ) , ( - 5,5 )$ , endpoints of the major axis: $( - 5 , - 5 ) , ( - 5,9 )$

• A) \(\frac { ( x - 5 ) ^ { 2 } } { 40 } + \frac { ( y + 2 ) ^ { 2 } } { 49 } = 1\)
• B) \(\frac { ( x + 5 ) ^ { 2 } } { 40 } + \frac { ( y - 2 ) ^ { 2 } } { 49 } = 1\)
• C) \(\frac { ( x + 5 ) ^ { 2 } } { 49 } + \frac { ( y - 2 ) ^ { 2 } } { 40 } = 1\)
• D) \(\frac { ( x - 2 ) ^ { 2 } } { 49 } + \frac { ( y + 5 ) ^ { 2 } } { 40 } = 1\)
• E) \(\frac { ( x + 2 ) ^ { 2 } } { 49 } + \frac { ( y - 5 ) ^ { 2 } } { 40 } = 1\)

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