MathDB
Problems
Contests
National and Regional Contests
Canada Contests
Canada National Olympiad
1973 Canada National Olympiad
6
6
Part of
1973 Canada National Olympiad
Problems
(1)
Circle
Source: Canada 1973/6
1/11/2007
If
A
A
A
and
B
B
B
are fixed points on a given circle not collinear with centre
O
O
O
of the circle, and if
X
Y
XY
X
Y
is a variable diameter, find the locus of
P
P
P
(the intersection of the line through
A
A
A
and
X
X
X
and the line through
B
B
B
and
Y
Y
Y
).
geometry
circumcircle