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Question
How many circles can drawn passing through three non-collinear points?
Options
0
Infinite
2
One and only one (unique)
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Solution
One and only one (unique)
Explanation:
The perpendicular bisectors of the segments between the three non‑collinear points meet at a single point the circumcenter, which is equidistant from all three points; that point is the unique center and determines one unique circle through the three points.
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