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

Question 21

Multiple Choice

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


A) (x5) 240+(y+2) 249=1\frac { ( x - 5 ) ^ { 2 } } { 40 } + \frac { ( y + 2 ) ^ { 2 } } { 49 } = 1
B) (x+5) 240+(y2) 249=1\frac { ( x + 5 ) ^ { 2 } } { 40 } + \frac { ( y - 2 ) ^ { 2 } } { 49 } = 1
C) (x+5) 249+(y2) 240=1\frac { ( x + 5 ) ^ { 2 } } { 49 } + \frac { ( y - 2 ) ^ { 2 } } { 40 } = 1
D) (x2) 249+(y+5) 240=1\frac { ( x - 2 ) ^ { 2 } } { 49 } + \frac { ( y + 5 ) ^ { 2 } } { 40 } = 1
E) (x+2) 249+(y5) 240=1\frac { ( x + 2 ) ^ { 2 } } { 49 } + \frac { ( y - 5 ) ^ { 2 } } { 40 } = 1

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