Difference between revisions of "1988 AIME Problems/Problem 14"

Revision as of 18:37, 23 October 2007

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 $bc$ .

@@ Line 1: / Line 1: @@
 == Problem ==
+Let <math>C</math> be the [[graph]] of <math>xy = 1</math>, and denote by <math>C^*</math> the [[reflection]] of <math>C</math> in the line <math>y = 2x</math>.  Let the [[equation]] of <math>C^*</math> be written in the form
+<cmath>12x^2 + bxy + cy^2 + d = 0.</cmath>
+Find the product <math>bc</math>.
 == Solution ==
 == See also ==
-* [[1988 AIME Problems]]
+{{AIME box|year=1988|num-b=13|num-a=15}}
-{{AIME box|year=1988|num-b=13|num-a=15}}
+[[Category:Intermediate Algebra Problems]]

1988 AIME (Problems • Answer Key • Resources)
Preceded by Problem 13	Followed by Problem 15
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
All AIME Problems and Solutions