2006 AMC 12A Problem 11
Attempt Problem 11 of the 2006 AMC 12A 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 2006 AMC 12A solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
11.
Which of the following describes the graph of the equation
the empty set
one point
two lines
a circle
the entire plane
Answer: C
Small hint:
Expand and simplify
Big hint:
The equation reduces to
Solution:
Expanding, so i.e.
This is the union of the two coordinate axes, a pair of lines.
Thus, the correct answer is C.
Problem 11 in other years
- 1950 AMC 12
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