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

question 222

Multiple Choice

Find the standard-form equation for an ellipse which satisfies the given conditions.
-An ellipse centered at the origin having focus at $( 8,0 )$ and eccentricity equal to $\frac { 1 } { 2 }$

• A) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 48 } = 1\)
• B) \(\frac { y ^ { 2 } } { 256 } + \frac { x ^ { 2 } } { 192 } = 1\)
• C) \(\frac { x ^ { 2 } } { 256 } + \frac { y ^ { 2 } } { 192 } = 1\)
• D) \(\frac { x ^ { 2 } } { 64 } + y ^ { 2 } = 1\)

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