2015 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 2
Problem
Show that if 
is a set of finitely many non-collinear points in the plane (i.e., not all of
the points are on the same line), then there is a line which contains exactly two of the
points of . Is the claim true if has infinitely many points? Hint: Use an extremal
configuration.
Solution
See also
| 2015 UNM-PNM Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNM-PNM Problems and Solutions | ||
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