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A, B, C, D are consecutive vertices of a rectangle, whose area is 6 and length of diagonal is `sqrt 13`. Area of ellipse passes through A and C and has foci at B and D is
A. |
`(5sqrt3 pi)/2` |
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B. |
`pi/2` |
C. |
`pi/(2sqrt3)` |
D. |
`pi/sqrt3` |