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Chosen point

Source:

October 24, 2005
analytic geometrygeometryinradiusincenter

Problem Statement

A point (x,y)(x,y) is to be chosen in the coordinate plane so that it is equally distant from the x-axis, the y-axis, and the line x+y=2x+y = 2. Then xx is A. 2−1\sqrt{2} - 1 B. 12\frac{1}{2} C. 2−22 - \sqrt{2} D. 1 E. Not uniquely determined
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