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2004 AMC 10A Problems/Problem 2

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Problem

For any three real numbers , , and , with , the operation is defined by: What is ?

\mathrm{(A) \ } -\frac{1}{2}\qquad \mathrm{(B) \ } -\frac{1}{4} \qquad \mathrm{(C) \ } 0 \qquad \mathrm{(D) \ } \frac{1}{4} \qquad \mathrm{(E) \ } \frac{1}{2}

Solution

\left(\frac{1}{2-3}, \frac{2}{3-1}, \frac{3}{1-2}\right)=\displaystyle(-1,1,-3)=\frac{-1}{1+3}=-\frac{1}{4}\Longrightarrow\mathrm{(B)}

See also

2004 AMC 10A (Problems)
Preceded by
Problem 1
Followed by
Problem 3
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