Find the Eccentricity of the Ellipse $( - \sqrt { 11 } , 0 )$

question 320

Multiple Choice

Find the eccentricity of the ellipse.
-Find the eccentricity of an ellipse centered at the origin having a focus of $( - \sqrt { 11 } , 0 )$ and corresponding directrix $x = - \frac { 36 } { \sqrt { 11 } }$

• A) \(\frac { \sqrt { 11 } } { 36 }\)
• B) \(\frac { \sqrt { 11 } } { 5 }\)
• C) \(\frac { \sqrt { 61 } } { 6 }\)
• D) \(\frac { \sqrt { 11 } } { 6 }\)

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