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Find the Standard Form of the Equation of the Ellipse (4,3),(4,13)( 4,3 ) , ( 4,13 )

Question 49

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics. foci: (4,3) ,(4,13) ( 4,3 ) , ( 4,13 ) endpoints of the major axis: (4,0) ,(4,16) ( 4,0 ) , ( 4,16 )


A) x+8264+y+4239=1\frac { x + 8 ^ { 2 } } { 64 } + \frac { y + 4 ^ { 2 } } { 39 } = 1
B) x4264+y8239=1\frac { x - 4 ^ { 2 } } { 64 } + \frac { y - 8 ^ { 2 } } { 39 } = 1
C) x+4239+y+8264=1\frac { x + 4 ^ { 2 } } { 39 } + \frac { y + 8 ^ { 2 } } { 64 } = 1
D) x4239+y8264=1\frac { x - 4 ^ { 2 } } { 39 } + \frac { y - 8 ^ { 2 } } { 64 } = 1
E) x8264+y4239=1\frac { x - 8 ^ { 2 } } { 64 } + \frac { y - 4 ^ { 2 } } { 39 } = 1

Correct Answer:

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