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Let P be a parabola with vertex (2, 3) and directrix 2x + y = 6. Let an ellipse E : 2 2 2 2 b y a x + = 1, a > b, of eccentricity 2 1 pass through the focus of the parabola P. Then, the square of the length of the latus rectum of E, is

1. 8 347
2. 25 512
3. 8 385
4. 25 656

Correct answer: 25 656

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