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1976 USAMO Problems/Problem 2

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Problem

If A and B are fixed points on a given circle and XY is a variable diameter of the same circle, determine the locus of the point of intersection of lines AX and BY. You may assume that AB is not a diameter.

size(300);defaultpen(fontsize(8));real r=10;picture pica, picb;pair A=r*expi(5*pi/6), B=r*expi(pi/6), X=r*expi(pi/3), X1=r*ex...

Solution

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See also

1976 USAMO (Problems)
Preceded by
Problem 1
1 2 3 4 5 Followed by
Problem 3
All USAMO Problems and Solutions
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