Difference between revisions of "2002 AMC 12B Problems/Problem 18"
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− | + | == Problem == | |
+ | A point <math>P</math> is randomly selected from the [[rectangle|rectangular]] region with vertices <math>(0,0),(2,0),(2,1),(0,1)</math>. What is the [[probability]] that <math>P</math> is closer to the origin than it is to the point <math>(3,1)</math>? | ||
+ | |||
+ | <math>\mathrm{(A)}\ | ||
+ | \qquad\mathrm{(B)}\ | ||
+ | \qquad\mathrm{(C)}\ | ||
+ | \qquad\mathrm{(D)}\ | ||
+ | \qquad\mathrm{(E)}\ </math> | ||
+ | == Solution == | ||
+ | {{solution}} | ||
+ | |||
+ | == See also == | ||
+ | {{AMC12 box|year=2002|ab=B|num-b=17|num-a=19}} | ||
+ | |||
+ | [[Category:Introductory Geometry Problems]] |
Revision as of 17:47, 16 January 2008
Problem
A point is randomly selected from the rectangular region with vertices . What is the probability that is closer to the origin than it is to the point ?
Solution
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See also
2002 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 17 |
Followed by Problem 19 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |