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 $( \sqrt { 77 } , 0 )$ and directrix $x = \frac { 81 } { \sqrt { 77 } }$

• A) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 4 } = 1\)
• B) \(\frac { x ^ { 2 } } { 81 } + y ^ { 2 } = 1\)
• C) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 81 } = 1\)
• D) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 2 } = 1\)

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