Difference between revisions of "2002 AMC 12B Problems/Problem 18"

 
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#REDIRECT [[2002 AMC 12B Problems/Problem 16]]
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== Problem ==
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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>?
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<math>\mathrm{(A)}\
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\qquad\mathrm{(B)}\
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\qquad\mathrm{(C)}\
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\qquad\mathrm{(D)}\
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\qquad\mathrm{(E)}\ </math>
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== Solution ==
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{{solution}}
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== See also ==
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{{AMC12 box|year=2002|ab=B|num-b=17|num-a=19}}
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[[Category:Introductory Geometry Problems]]

Revision as of 17:47, 16 January 2008

Problem

A point $P$ is randomly selected from the rectangular region with vertices $(0,0),(2,0),(2,1),(0,1)$. What is the probability that $P$ is closer to the origin than it is to the point $(3,1)$?

$\mathrm{(A)}\  \qquad\mathrm{(B)}\  \qquad\mathrm{(C)}\  \qquad\mathrm{(D)}\  \qquad\mathrm{(E)}$

Solution

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See also

2002 AMC 12B (ProblemsAnswer KeyResources)
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