Difference between revisions of "2002 AMC 8 Problems/Problem 1"

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The two [[Line|lines]] can both [[intersection|intersect]] the [[circle]] twice, and can intersect each other once, so <math>2+2+1= \boxed {\text {(D)}\ 5}.</math>
 
The two [[Line|lines]] can both [[intersection|intersect]] the [[circle]] twice, and can intersect each other once, so <math>2+2+1= \boxed {\text {(D)}\ 5}.</math>
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==Video Solution by WhyMath==
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https://youtu.be/HmpI5StjhNI
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2002|before=First<br />Question|num-a=2}}
 
{{AMC8 box|year=2002|before=First<br />Question|num-a=2}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Latest revision as of 13:26, 29 October 2024

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 $2+2+1= \boxed {\text {(D)}\ 5}.$

Video Solution by WhyMath

https://youtu.be/HmpI5StjhNI

See Also

2002 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
First
Question
Followed by
Problem 2
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 AJHSME/AMC 8 Problems and Solutions

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