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Find locus of midpoint in circle intersections

  1. Nov 8, 2005 #1
    Two circles intersect at points A and B. PAQ is a straight line such that points P and Q lie on the two circles. Find the locus of the midpoint of PAQ
  2. jcsd
  3. Nov 9, 2005 #2


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    Please, tell us what you have done so far in solving the problem. :)
  4. Nov 9, 2005 #3
    I have tride with saying that if c and d are the centres of the circle and o is its midpoint of CD then by structure as well as by sense we can feel that M is midpoint of PAQ where OA = OM. thus midpoint lies at A when OM is perpendicular to PAQ. these are basic construction properties which i have noted in middle school. but cannot proceed furhter. any other way or modification to this
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