Difference between revisions of "2023 AMC 12B Problems/Problem 12"
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| + | ==Problem== | ||
| + | For complex number <math>u = a+bi and </math>v = c+di<math> (where </math>i=\sqrt{-1}<math>), define the binary operation | ||
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| + | </math>u \earth v = ac \plus bdi<math> | ||
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| + | </math>\textbf{(A) }\frac{9}{25}\qquad\textbf{(B) }\frac{1}{9}\qquad\textbf{(C) }\frac{1}{5}\qquad\textbf{(D) }\frac{25}{169}\qquad\textbf{(E) }\frac{4}{25}$ | ||
Revision as of 17:33, 15 November 2023
Problem
For complex number 
v = c+di
i=\sqrt{-1}
u \earth v = ac \plus bdi$$ (Error compiling LaTeX. Unknown error_msg)\textbf{(A) }\frac{9}{25}\qquad\textbf{(B) }\frac{1}{9}\qquad\textbf{(C) }\frac{1}{5}\qquad\textbf{(D) }\frac{25}{169}\qquad\textbf{(E) }\frac{4}{25}$
