1988 AIME Problems/Problem 14

Problem

Let $C$ be the graph of $xy = 1$ , and denote by $C^*$ the reflection of $C$ in the line $y = 2x$ . Let the equation of $C^*$ be written in the form

$12x^2 + bxy + cy^2 + d = 0.$

Find the product $bc$ .

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1988 AIME (Problems • Answer Key • Resources)
Preceded by Problem 13	Followed by Problem 15
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