Difference between revisions of "University of South Carolina High School Math Contest/1993 Exam/Problem 25"
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== Solution == | == Solution == | ||
| − | Let the circle we are looking for be <math>(x-h)^{2}+(y-k)^{2}=r^{2}</math> where <math>(h,k)</math> is | + | Let the circle we are looking for be <math>(x-h)^{2}+(y-k)^{2}=r^{2}</math> where <math>(h,k)</math> is the center. Plugging in points <math>(6,0)</math> and <math>(0,2)</math> gives us that <math>3k-h=8</math>. Seeing our answer choices, none of the points work, thus our answer is E. |
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Latest revision as of 00:11, 16 February 2016
Problem
What is the center of the circle passing through the point 
and tangent to the circle 
at 
? (Two circles are tangent at a point 
if they intersect at and at no other point.)
Solution
Let the circle we are looking for be 
where 
is the center. Plugging in points and gives us that 
. Seeing our answer choices, none of the points work, thus our answer is E.
