1964 AMC 12 Problem 2
Attempt Problem 2 of the 1964 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 1964 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
2.
The graph of is:
a parabola
an ellipse
a pair of straight lines
a point
none of these
Answer: C
Small hint:
Factor the left side as a difference of squares
Big hint:
Set each linear factor equal to zero
Solution:
Factoring gives Thus every point lies on or a pair of straight lines.
Therefore, the correct answer is C.
Problem 2 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
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