1983 AHSME Problems/Problem 2

Revision as of 11:58, 27 June 2015 by MathAwesome123 (talk | contribs) (Created page with "==Problem== Point <math>P</math> is outside circle <math>C</math> on the plane. At most how many points on <math>C</math> are <math>3 \, \text{cm}</math> from <math>P</math>? ...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

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

Solution

The points $3 \, \text{cm}$ away from $P$ can be represented as a circle with radius $3\,\text{cm}$. The maximum number of intersections between two circles is $\boxed{(\text{B}) \; 2}$

Invalid username
Login to AoPS