Difference between revisions of "1988 AIME Problems/Problem 14"
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== Problem == | == 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> | ||
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+ | Find the product <math>bc</math>. | ||
== Solution == | == Solution == | ||
== See also == | == See also == | ||
− | + | {{AIME box|year=1988|num-b=13|num-a=15}} | |
− | + | [[Category:Intermediate Algebra Problems]] |
Revision as of 19:37, 23 October 2007
Problem
Let be the graph of , and denote by the reflection of in the line . Let the equation of be written in the form
Find the product .
Solution
See also
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 |