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IMO Shortlist
1968 IMO Shortlist
14
14
Part of
1968 IMO Shortlist
Problems
(1)
Find the locus of the center of the circumcircle of XAY
Source:
9/23/2010
A line in the plane of a triangle
A
B
C
ABC
A
BC
intersects the sides
A
B
AB
A
B
and
A
C
AC
A
C
respectively at points
X
X
X
and
Y
Y
Y
such that
B
X
=
C
Y
BX = CY
BX
=
C
Y
. Find the locus of the center of the circumcircle of triangle
X
A
Y
.
XAY .
X
A
Y
.
geometry
circumcircle
symmetry
angle bisector
IMO Shortlist