Math CentralQuandaries & Queries


Question from onyeka, a student:

find the equation of a circle with point [3,7][5,5] and which center lies on the line x-4y=1

If two points lie on a circle they are equidistant from the center. What does this say about perpendicular bisectors? (Perpendicular lines have negative-reciprocal slopes.)

Good Hunting!

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