Difference between revisions of "2011 AMC 12A Problems/Problem 23"
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\textbf{(A)}\ 0 \qquad | \textbf{(A)}\ 0 \qquad | ||
| − | \textbf{(B)}\ \sqrt{2}1 \qquad | + | \textbf{(B)}\ \sqrt{2}-1 \qquad |
\textbf{(C)}\ \sqrt{3}-1 \qquad | \textbf{(C)}\ \sqrt{3}-1 \qquad | ||
\textbf{(D)}\ 1 \qquad | \textbf{(D)}\ 1 \qquad | ||
Revision as of 01:02, 13 February 2011
Problem
Let 
and 
, where 
and 
are complex numbers. Suppose that 
and 
for all 
for which 
is defined. What is the difference between the largest and smallest possible values of 
?
Solution
See also
| 2011 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 22 |
Followed by Problem 24 |
| 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 AMC 12 Problems and Solutions | |
