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

Question 122

Multiple Choice

Find the standard-form equation for an ellipse which satisfies the given conditions.
-An ellipse centered at the origin having focus (77,0) ( \sqrt { 77 } , 0 ) and directrix x=8177x = \frac { 81 } { \sqrt { 77 } }


A) x281+y24=1\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 4 } = 1
B) x281+y2=1\frac { x ^ { 2 } } { 81 } + y ^ { 2 } = 1
C) x24+y281=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 81 } = 1
D) x29+y22=1\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 2 } = 1

Correct Answer:

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