Find an Equation of the Ellipse That Satisfies the Given $( 0 , \pm 8 )$

question 26

Multiple Choice

Find an equation of the ellipse that satisfies the given conditions.
Foci: $( 0 , \pm 8 )$ , vertices $( 0 , \pm 9 )$

• A) \(\frac { x ^ { 2 } } { 17 } + \frac { y ^ { 2 } } { 81 } = 1\)
• B)
• \(\frac { x ^ { 2 } } { 17 } - \frac { y ^ { 2 } } { 81 } = 1\)
• C)
• \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 17 } = 1\)
• D)
• \(\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 17 } = 1\)