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Through how many circles can three non-collinear points all pass?

Competition practiceGeometry
  • AExactly one
  • BTwo
  • CInfinitely many
  • DNone

Step-by-Step Solution

The centre must lie on the perpendicular bisectors of the two segments joining the points, and these meet at exactly one point. So exactly one circle passes through three non-collinear points.
Answer: A) Exactly one

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