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Find the Standard-Form Equation for an Ellipse Which Satisfies the Given

Question 165

Multiple Choice

Find the standard-form equation for an ellipse which satisfies the given conditions.
-An ellipse centered at the origin having focus (0,235) ( 0 , - 2 \sqrt { 35 } ) and directrix y=7235y = - \frac { 72 } { \sqrt { 35 } }


A) x24+y2144=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 144 } = 1
B) x2144+y24=1\frac { x ^ { 2 } } { 144 } + \frac { y ^ { 2 } } { 4 } = 1
C) x22+y212=1\frac { x ^ { 2 } } { 2 } + \frac { y ^ { 2 } } { 12 } = 1
D) x28+y2144=1\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 144 } = 1

Correct Answer:

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