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Find the Standard-Form Equation of the Ellipse Centered at the Origin

Question 192

Multiple Choice

Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.
-An ellipse with vertices (0,±9) ( 0 , \pm 9 ) and foci at (0,±23) ( 0 , \pm 2 \sqrt { 3 } ) .


A) x269+y281=1\frac { x ^ { 2 } } { 69 } + \frac { y ^ { 2 } } { 81 } = 1
B) x281+y269=1\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 69 } = 1
C) x269+y293=1\frac { x ^ { 2 } } { 69 } + \frac { y ^ { 2 } } { 93 } = 1
D) x212+y281=1\frac { x ^ { 2 } } { 12 } + \frac { y ^ { 2 } } { 81 } = 1

Correct Answer:

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