University of South Carolina High School Math Contest/1993 Exam/Problem 25
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.)
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.