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Use the Given Information to Find the Equation of the Ellipse

Question 19

Multiple Choice

Use the given information to find the equation of the ellipse. The foci are (±2,0) ( \pm 2,0 ) and the directrices are x=±3x = \pm 3 .


A) 5x2+3y2=145 x ^ { 2 } + 3 y ^ { 2 } = 14
B) 5x2+5y2=65 x ^ { 2 } + 5 y ^ { 2 } = 6
C) x2+5y2=6x ^ { 2 } + 5 y ^ { 2 } = 6
D) x2+3y2=6x ^ { 2 } + 3 y ^ { 2 } = 6
E) x2+5y2=14x ^ { 2 } + 5 y ^ { 2 } = 14

Correct Answer:

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