1973 Canadian MO Problems/Problem 6

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Problem

If $A$ and $B$ are fixed points on a given circle not collinear with center $O$ of the circle, and if $XY$ is a variable diameter, find the locus of $P$ (the intersection of the line through $A$ and $X$ and the line through $B$ and $Y$).

Solution

See also

1973 Canadian MO (Problems)
Preceded by
Problem 5
1 2 3 4 5 Followed by
Problem 7