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AMC 12 2020b Problem 7

  • Paper

Two nonhorizontal, non vertical lines in the xyxy-coordinate plane intersect to form a 45∘45^{\circ} angle. One line has slope equal to 66 times the slope of the other line. What is the greatest possible value of the product of the slopes of the two lines?

\textbf{(A)}\ \frac16 \textbf{(B)}\ \frac23 \textbf{(C)}\ \frac32 \textbf{(D)}\ 3 \textbf{(E)}\ 6

Dataset text AMC 12 2000 to 2025. Quoted with source.

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C

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