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PD0267 · Problem 27

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Problem

In the xyxy-plane, the graph of the equation
6x260kx+6y2+36ky=6mk26x^2-60kx+6y^2+36ky=-6mk^2
is a circle, where kk and mm are positive constants. The circle passes through the point (8k,3k)(8k,-3k). What is the value of mm?
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Problem 27 · Pencils Down Labs