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Two Mirrors (Posted on 2006-10-08) Difficulty: 2 of 5
Two mirrors are placed in the first quadrant of the xy-plane (perpendicular to the plane). The first mirror along the line y = b-x (for some b > 0) and facing the point (0,0). The second mirror along the line y = mx (where m > 0) and facing the point (b,0). A light source at point (a,0), 0 < a < b, shoots a beam of light into the first quadrant parallel to the first mirror. Find m such that when the beam is reflected exactly once by each mirror, it passes through the original light source at point (a,0).

See The Solution Submitted by Bractals    
Rating: 2.5000 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsTo startJer2006-10-10 11:36:40
Hints/Tipsplaying with Geometer's Sketchpad (spoiler)Charlie2006-10-08 13:04:40
SolutionAnswer?Adeline Redding2006-10-08 13:02:18
Starting thoughtsLarry2006-10-08 11:03:56
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