Competition problem — Geometry — Maths Olympiad Prep

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Geometry Difficulty 1.9 Junior Find the answer

Point $P$ is outside circle $C$ on the plane. At most how many points on $C$ are $3$ cm from $P$ ?

Pick one

Solution

The points $3$ cm away from $P$ can be represented as a circle centered at $P$ with radius $3$ cm. The maximum number of intersection points of two circles is $\boxed{\textbf{(B)} \ 2}$ .

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.