# Difference between revisions of "2005 AMC 12B Problems/Problem 14"

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== Problem == | == Problem == | ||

{{problem}} | {{problem}} | ||

− | A circle having center <math>(0, | + | A circle having center <math>(0,k)</math>, with <math>k>6</math>, is tangent to the lines <math>y=x</math>, <math>y=-x</math> and <math>y=6</math>. What is the radius of this circle? |

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== Solution == | == Solution == | ||

== See also == | == See also == | ||

* [[2005 AMC 12B Problems]] | * [[2005 AMC 12B Problems]] |

## Revision as of 03:43, 6 June 2010

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## Problem

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A circle having center , with , is tangent to the lines , and . What is the radius of this circle?