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

question 51

Multiple Choice

Find the standard form of the equation of the ellipse with vertices $( \pm 9,0 )$ and eccentricity $e = \frac { 7 } { 9 }$ .

• A) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 49 } = 1\)
• B) \(\frac { x ^ { 2 } } { 49 } + \frac { y ^ { 2 } } { 81 } = 1\)
• C) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 32 } = 1\)
• D) \(\frac { x ^ { 2 } } { 32 } + \frac { y ^ { 2 } } { 81 } = 1\)
• E) \(\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 81 } = 1\)

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