## Problem of the Week 1192## A Tale of Two CirclesLet S be the circle of radius 1 centered at (1, 0). Consider a circle C centered at the origin and let A and B mark the intersection of C's upper half with the positive y-axis and S. Extend the line AB rightward, letting X be its x-intercept.
What happens to X as C becomes smaller and smaller? © Copyright 2014 Stan Wagon. Reproduced with permission. Source: Shmuel Avital and Ed Barbeau, Nonintuitive solutions to problems, For the Learning of Mathematics 11:3 (1991) 2-18. |

3 October 2014