HMMT November 2010 E8
- General 1
- Answer
Two circles with radius one are drawn in the coordinate plane, one with center and the other with center , for some real number between 0 and 1 . A third circle is drawn so as to be tangent to both of the other two circles as well as the axis. What is the smallest possible radius for this third circle?
Dataset text NuminaMath olympiads. Quoted with source.
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3-2 \sqrt{2}
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