Sphere from tree points
Equation of sphere with three-point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a
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Dr Math
We found some bugs in this problem, but I think now is OK solution:
(x+a)2 + (y+a)2+(z-3a)2 = 6 a2
(x+a)2 + (y+a)2+(z-3a)2 = 6 a2
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