Math CentralQuandaries & Queries


Question from Apple:

One end of the the diameter of the circle with equation x^2+y^2-4x+4y=2 is (3,1). Find the coordinates of the other end of the diameter.


You have a circle and one point on it, (3,1). You want to construct the diagonal from (3,1) and find where this diagonal meets the circle.


A diagonal must pass through the center of the circle, so It would be helpful to know the coordinates of the center. You can do that by using the technique I described in a response to a question from Ariana.


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