Find the Standard Form of the Equation of the Ellipse $( 0,0 ) , ( 0,6 )$

question 38

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics. ​
Foci: $( 0,0 ) , ( 0,6 )$ ;major axis of length 12.
​

• A) \(\frac { x ^ { 2 } } { 27 } - \frac { ( y - 3 ) ^ { 2 } } { 36 } = 1\)
• B) \(\frac { x ^ { 2 } } { 36 } + \frac { ( y - 3 ) ^ { 2 } } { 9 } = 1\)
• C) \(\frac { x ^ { 2 } } { 27 } + \frac { ( y - 3 ) ^ { 2 } } { 36 } = 1\)
• D) \(\frac { x ^ { 2 } } { 9 } + \frac { ( y + 3 ) ^ { 2 } } { 36 } = 1\)
• E) \(\frac { x ^ { 2 } } { 27 } + \frac { y ^ { 2 } } { 36 } = 1\)

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