Find the Standard Form of the Equation of the Ellipse $( 7 , - 7 ) , ( 7 , - 1 )$

question 333

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics.
Foci: $( 7 , - 7 ) , ( 7 , - 1 )$ , endpoints of the major axis: $( 7 , - 13 ) , ( 7,5 )$

• A) \(\frac { ( x + 7 ) ^ { 2 } } { 72 } + \frac { ( y - 4 ) ^ { 2 } } { 81 } = 1\)
• B) \(\frac { ( x - 7 ) ^ { 2 } } { 72 } + \frac { ( y + 4 ) ^ { 2 } } { 81 } = 1\)
• C) \(\frac { ( x - 7 ) ^ { 2 } } { 81 } + \frac { ( y + 4 ) ^ { 2 } } { 72 } = 1\)
• D) \(\frac { ( x - 7 ) ^ { 2 } } { 72 } + \frac { ( y + 4 ) ^ { 2 } } { 81 } = - 1\)
• E) \(\frac { ( x - 4 ) ^ { 2 } } { 81 } + \frac { ( y + 7 ) ^ { 2 } } { 72 } = 1\)

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