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Imagine that you have two thumbtacks pla...

Imagine that you have two thumbtacks placed at two points, A and B. If the ends of a fixed length of string are fastened to the thumtacks and the string is drawn taut with a pencil, the path traced by the pencil will be an ellipse. The best way to maximise the area surrounded by the ellipse with a fixed length of string occurs `I` when the two points A and B have the maximum distance between them. `II` two points A and B coincide.IIIA and B are placed vertically.`IV` The area is always same regardless of the location of A and B.

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