2006 AMC 10A Problem 11
Attempt Problem 11 of the 2006 AMC 10A 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 10A solutions, or check the answer key.
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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
Solution:
Expanding, which reduces to i.e.
This holds exactly when or the two coordinate axes, so the graph is two lines.
Thus, the correct answer is C.
Problem 11 in Other Years
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