Difference between revisions of "2002 AMC 8 Problems/Problem 1"
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| − | == | + | ==Problem== |
A [[circle]] and two distinct [[Line|lines]] are drawn on a sheet of paper. What is the largest possible number of points of intersection of these figures? | A [[circle]] and two distinct [[Line|lines]] are drawn on a sheet of paper. What is the largest possible number of points of intersection of these figures? | ||
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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> | ||
| + | |||
| + | ==Video Solution by WhyMath== | ||
| + | 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 14:26, 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?
Solution
The two lines can both intersect the circle twice, and can intersect each other once, so 
Video Solution by WhyMath
See Also
| 2002 AMC 8 (Problems • Answer Key • Resources) | ||
| 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 | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
