Find the Standard Form of the Equation of the Ellipse $( - 5 , - 12 ) , ( - 5 , - 4 )$

question 10

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics. ​
Foci: $( - 5 , - 12 ) , ( - 5 , - 4 )$ ,endpoints of the major axis: $( - 5 , - 16 ) , ( - 5,0 )$ ​

• A) \(\frac { ( x + 5 ) ^ { 2 } } { 64 } + \frac { ( y + 8 ) ^ { 2 } } { 48 } = 1\)
• B) \(\frac { ( x - 5 ) ^ { 2 } } { 48 } + \frac { ( y - 8 ) ^ { 2 } } { 64 } = 1\)
• C) \(\frac { ( x - 8 ) ^ { 2 } } { 64 } + \frac { ( y - 5 ) ^ { 2 } } { 48 } = 1\)
• D) \(\frac { ( x + 8 ) ^ { 2 } } { 64 } + \frac { ( y + 5 ) ^ { 2 } } { 48 } = 1\)
• E) \(\frac { ( x + 5 ) ^ { 2 } } { 48 } + \frac { ( y + 8 ) ^ { 2 } } { 64 } = 1\)

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