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Let the ellipse, E 1 : 2 2 2 2 b y a x + = 1, a > b and E 2 : 2 2 2 2 B y A x + = 1, A < B have same eccentricity 3 1 . Let the product of their lengths of latus rectums be 3 32 , and the distance between the foci of E 1 be 4. If E 1 and E 2 meet at A,B,C and D, then the area of the quadrilateral ABCD equals :

1. 6 6
2. 5 6 18
3. 5 6 12
4. 5 6 24

Correct answer: 5 6 24

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