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Find two points

Source: Cono Sur 1992-problem 2

May 29, 2006

geometry unsolvedgeometry

Problem Statement

Let

P

be a point outside the circle

C

. Find two points

Q

and

R

on the circle, such that

P,Q

and

R

are collinear and

Q

is the midpopint of the segmenet

PR

. (Discuss the number of solutions).

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