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 $( 0 , - 2 \sqrt { 35 } )$ and directrix $y = - \frac { 72 } { \sqrt { 35 } }$

• A) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 144 } = 1\)
• B) \(\frac { x ^ { 2 } } { 144 } + \frac { y ^ { 2 } } { 4 } = 1\)
• C) \(\frac { x ^ { 2 } } { 2 } + \frac { y ^ { 2 } } { 12 } = 1\)
• D) \(\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 144 } = 1\)