Difference between revisions of "1973 Canadian MO Problems/Problem 6"
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==Problem== | ==Problem== | ||
| − | + | If <math>A</math> and <math>B</math> are fixed points on a given circle not collinear with center <math>O</math> of the circle, and if <math>XY</math> is a variable diameter, find the locus of <math>P</math> (the intersection of the line through <math>A</math> and <math>X</math> and the line through <math>B</math> and <math>Y</math>). | |
==Solution== | ==Solution== | ||
Latest revision as of 17:51, 8 October 2014
Problem
If 
and 
are fixed points on a given circle not collinear with center 
of the circle, and if 
is a variable diameter, find the locus of 
(the intersection of the line through and 
and the line through and 
).
Solution
See also
| 1973 Canadian MO (Problems) | ||
| Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 | Followed by Problem 7 |
