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Probability Point Closer to Origin

1425ApprenticeCoordinate GeometryProbability

AMC 12B · 2002 · Problem 18

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 $(3,1)$?

Answer choices

A
\frac 12
B
\frac 23
C
\frac 34
D
\frac 45
E
1
0 students attempted0% solvedRating 1425

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