If two points P1 (4,9) and P2 (6,3) are known, then the equation for a circle with diameter p1p2 is______ ．

If two points P1 (4,9) and P2 (6,3) are known, then the equation for a circle with diameter p1p2 is______ ．

Let the midpoint of line p1p2 be m, ∵ P1 (4,9) and P2 (6,3), the center of circle m (5,6), and | p1p2 | = (4 − 6) 2 + (9 − 3) 2 = 210, and the radius of circle 12 | p1p2 | = 10, then the equation of circle is: (X-5) 2 + (y-6) 2 = 10. So the answer is: (X-5) 2 + (y-6) 2 = 10

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