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Ellipse And Minimum Parallelogram (Posted on 2008-01-04) Difficulty: 3 of 5
Determine the minimum area of a parallelogram each of whose four sides are tangent to the ellipse x2/49 + y2/36 = 1.

See The Solution Submitted by K Sengupta    
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Gut reaction | Comment 1 of 4
I suspect the minimum is either a 12x14 rectangle with sides parallel to the x and y axis, or a rhombus with verticies on the x and y axis.
  Posted by Brian Smith on 2008-01-04 12:44:58
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