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Omni-MATH / A sphere is centered at a point with integer coordinates and passes through the…

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problem

A sphere is centered at a point with integer coordinates and passes through the three points (2,0,0)(2,0,0), (0,4,0),(0,0,6)(0,4,0),(0,0,6), but not the origin (0,0,0)(0,0,0). If rr is the smallest possible radius of the sphere, compute r2r^{2}.
Plain-text mathematical notation (without MathML)
A sphere is centered at a point with integer coordinates and passes through the three points (2,0,0), (0,4,0),(0,0,6), but not the origin (0,0,0). If r is the smallest possible radius of the sphere, compute r².
Original LaTeX notation
A sphere is centered at a point with integer coordinates and passes through the three points $(2,0,0)$, $(0,4,0),(0,0,6)$, but not the origin $(0,0,0)$. If $r$ is the smallest possible radius of the sphere, compute $r^{2}$.

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Source and history

task_id
d4f5fc4f-1ae4-5741-96ee-6f603b583123
task_key
test--d4f5fc4f-1ae4-5741-96ee-6f603b583123
task_revision_id
1
config / split
/ test

Official source

initial import