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Find the Standard Form of the Equation of the Ellipse (4,0)( - 4,0 )

Question 103

Multiple Choice

Find the standard form of the equation of the ellipse centered at the origin having vertices at (4,0) ( - 4,0 ) and (4,0) ( 4,0 ) and foci at (1,0) ( - 1,0 ) and (1,0) ( 1,0 ) .


A) x2(15) 2+y242=1\frac { x ^ { 2 } } { ( \sqrt { 15 } ) ^ { 2 } } + \frac { y ^ { 2 } } { 4 ^ { 2 } } = 1
B) x24+y215=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { \sqrt { 15 } } = 1
C) x24+y217=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { \sqrt { 17 } } = 1
D) x215+y24=1\frac { x ^ { 2 } } { \sqrt { 15 } } + \frac { y ^ { 2 } } { 4 } = 1
E) x242+y2(15) 2=1\frac { x ^ { 2 } } { 4 ^ { 2 } } + \frac { y ^ { 2 } } { ( \sqrt { 15 } ) ^ { 2 } } = 1

Correct Answer:

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