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A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is $\frac{1}{2}$ Then the length of the semi major axis is

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answer is B.

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Detailed Solution

$\frac{a}{e} - a e = 4 \Rightarrow 2 a - \frac{a}{2} = 4 \Rightarrow a = \frac{8}{3}$

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