1983 AMC 12 Problem 2
Attempt Problem 2 of the 1983 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1983 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
2.
Point is outside circle on the plane. At most how many points on are cm from
Answer: B
Small hint:
Points at a fixed distance from form another circle
Big hint:
Count the common points of the two circles; the maximum occurs when they cross
Solution:
The points cm from form a circle centered at Two distinct circles intersect in at most two points, and two intersections are possible.
Therefore, the correct answer is B.
Problem 2 in other years
- 1950 AMC 12
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