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A focus of an ellipse is at the origi...

A focus of an ellipse is at the origin. The directrix is the line `x""=""4` and the eccentricity is 1/2. Then the length of the semimajor axis is (1) `8/3` (2) `2/3` (3) `4/3` (4) `5/3`

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To solve the problem step by step, we will use the properties of an ellipse related to its focus, directrix, and eccentricity. ### Step 1: Understand the given information We have: - Focus of the ellipse at the origin (0, 0). - Directrix is the line \( x = 4 \). - Eccentricity \( e = \frac{1}{2} \). ...
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