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 thumbtacks 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 when i the two points a and b have the maximum distance between them. ii two points a and b coincide. iii a and b are placed vertically. iv the area is always same regardless of the location of a and
b. (a) i (b) ii (c) iii (d) iv
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that is a good night and sweet and kind
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