Find the Standard Form of the Equation of the Ellipse $( 0 , \pm 9 )$

question 42

Multiple Choice

Find the standard form of the equation of the ellipse with vertices $( 0 , \pm 9 )$ and eccentricity $e = \frac { 3 } { 9 }$ .

• A) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 81 } = 1\)
• B) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 81 } = 1\)
• C) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 9 } = 1\)
• D) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 72 } = 1\)
• E) \(\frac { x ^ { 2 } } { 72 } + \frac { y ^ { 2 } } { 81 } = 1\)

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