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Find the Standard-Form Equation for an Ellipse Which Satisfies the Given

Question 222

Multiple Choice

Find the standard-form equation for an ellipse which satisfies the given conditions.
-An ellipse centered at the origin having focus at (8,0) ( 8,0 ) and eccentricity equal to 12\frac { 1 } { 2 }


A) x264+y248=1\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 48 } = 1
B) y2256+x2192=1\frac { y ^ { 2 } } { 256 } + \frac { x ^ { 2 } } { 192 } = 1
C) x2256+y2192=1\frac { x ^ { 2 } } { 256 } + \frac { y ^ { 2 } } { 192 } = 1
D) x264+y2=1\frac { x ^ { 2 } } { 64 } + y ^ { 2 } = 1

Correct Answer:

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