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Find the equation of the ellipse whose f...

Find the equation of the ellipse whose focus is `S(-1, 1),` the corresponding directrix is `x -y+3=0,` and eccentricity is 1/2. Also find its center, the second focus, the equation of the second directrix, and the length of latus rectum.

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To find the equation of the ellipse whose focus is \( S(-1, 1) \), the corresponding directrix is \( x - y + 3 = 0 \), and the eccentricity is \( \frac{1}{2} \), we will follow these steps: ### Step 1: Identify the given elements - Focus \( S(-1, 1) \) - Directrix \( x - y + 3 = 0 \) - Eccentricity \( e = \frac{1}{2} \) ### Step 2: Find the center of the ellipse ...
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