# Difference between revisions of "1983 AHSME Problems/Problem 2"

## Problem

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

$\textbf{(A)} \ 1 \qquad \textbf{(B)} \ 2 \qquad \textbf{(C)} \ 3 \qquad \textbf{(D)} \ 4 \qquad \textbf{(E)} \ 8$

## 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 $\boxed{\textbf{(B)} \ 2}$.