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2002 AMC 8 Problems/Problem 1

Revision as of 14:08, 16 June 2011 by R31415 (talk | contribs) (Created page with "==Problem== A circle and two distinct lines are drawn on a sheet of paper. What is the largest possible number of points of intersection of these figures? <math>\t...")
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Problem

A circle and two distinct lines are drawn on a sheet of paper. What is the largest possible number of points of intersection of these figures?

$\text {(A)}\ 2 \qquad \text {(B)}\ 3 \qquad {(C)}\ 4 \qquad {(D)}\ 5 \qquad {(E)}\ 6$

Solution

The two lines can both intersect the circle twice, and can intersect each other once, so $2+2+1= \boxed {\text {(D)}\ 5}.$

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