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Find the Standard Form of the Equation of the Ellipse (7,7),(7,1)( 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) ( 7 , - 7 ) , ( 7 , - 1 ) , endpoints of the major axis: (7,13) ,(7,5) ( 7 , - 13 ) , ( 7,5 )


A) (x+7) 272+(y4) 281=1\frac { ( x + 7 ) ^ { 2 } } { 72 } + \frac { ( y - 4 ) ^ { 2 } } { 81 } = 1
B) (x7) 272+(y+4) 281=1\frac { ( x - 7 ) ^ { 2 } } { 72 } + \frac { ( y + 4 ) ^ { 2 } } { 81 } = 1
C) (x7) 281+(y+4) 272=1\frac { ( x - 7 ) ^ { 2 } } { 81 } + \frac { ( y + 4 ) ^ { 2 } } { 72 } = 1
D) (x7) 272+(y+4) 281=1\frac { ( x - 7 ) ^ { 2 } } { 72 } + \frac { ( y + 4 ) ^ { 2 } } { 81 } = - 1
E) (x4) 281+(y+7) 272=1\frac { ( x - 4 ) ^ { 2 } } { 81 } + \frac { ( y + 7 ) ^ { 2 } } { 72 } = 1

Correct Answer:

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