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Last edited by yellow4321; Mar 6th 2008 at 05:25 AM.
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By definition, an ellipse is the set of points the sum of the distances to two fixed points, the foci, is a constant. In the complex plane if u & v are points then the distance from u to v is |u-v|. Because are the foci we have: . Now you finish.
so if its the sum 2a=8 then a=4 so 2=a^2 - b^2 2-16=-b^2 14=b^2 so equation looks something like x^2/16 + y^2/14 =1 ?? could you start me off on part b thats if im even right on part a. cheers
You have a = 4. This gives vertices at 4i and -4i. You should have c = 2. This gives b^2 = 12. I cannot tell why you decided to use c rather than c^2 when calculating b.
my reasoning was that c^2=foci and because i already know foci is 2i but im a complete novice at this so i assume your right.
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