2015 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 5

Problem

Let $A$ and $B$ be two points in the plane. Describe the set $S$ of all points in the plane such that for any point $P$ in $S$ we have \[|PA| = 3|PB|\].

Solution

See also

2015 UNM-PNM Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10
All UNM-PNM Problems and Solutions

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