Difference between revisions of "1970 Canadian MO Problems/Problem 8"

(Created page with "== Problem == Consider all line segments of length 4 with one end-point on the line y=x and the other end-point on the line y=2x. Find the equation of the locus of the midpoints...")
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Revision as of 04:02, 8 October 2014

Problem

Consider all line segments of length 4 with one end-point on the line y=x and the other end-point on the line y=2x. Find the equation of the locus of the midpoints of these line segments.

Solution