Advanced Geometric Problem & Solution (Twice a week update) Now 4603 problems posted.
<Tri-2024-2127>, hint
Let A(0,0), B(1,0), P(t,0), then
Q(t/2.t/2) R((1+t).2, (1-t)/2). M((1/4+t/2), 1/4)
Hence locus of M is a segment parallel to AB
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