1973 Canadian MO Problems/Problem 6: Difference between revisions
m Created page with "==Problem== ==Solution== ==See also== *1973 Canadian MO {{CanadaMO box|year=1973||num-b=5||num-a=7}}" |
|||
| Line 1: | Line 1: | ||
==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 16:51, 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 |
