Hi,

Once I have found the max and min values of (X^2)+(y^2), how would I go about finding the lengths of the major and minor semi-axes of a specified central ellipse.

Thanks.

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- October 19th 2006, 03:55 AMjedoobellipse axes
Hi,

Once I have found the max and min values of (X^2)+(y^2), how would I go about finding the lengths of the major and minor semi-axes of a specified central ellipse.

Thanks. - October 19th 2006, 04:16 AMJakeD
Max x^2+y^2 occurs at (x,y) = (a,0) because ellipse is inside circle of radius a. So max x^2+y^2 = a^2. Likewise min x^2+y^2 = b^2.

http://upload.wikimedia.org/wikipedi...x-Elpsminr.png