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In the plane let \,C\, be a circle, \,L\, a line tangent to the circle \,C,\, and \,M\, a point on \,L. Find the locus of all points \,P\, with the following property: there exists two points \,Q,R\, on \,L\, such that \,M\, is the midpoint of \,QR\, and \,C\, is the inscribed circle of triangle \,PQR.

Slični zadaci

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