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IMO Longlists
1983 IMO Longlists
14
14
Part of
1983 IMO Longlists
Problems
(1)
Find the set of all such points M
Source:
10/5/2010
Let
ℓ
\ell
ℓ
be tangent to the circle
k
k
k
at
B
B
B
. Let
A
A
A
be a point on
k
k
k
and
P
P
P
the foot of perpendicular from
A
A
A
to
ℓ
\ell
ℓ
. Let
M
M
M
be symmetric to
P
P
P
with respect to
A
B
AB
A
B
. Find the set of all such points
M
.
M.
M
.
geometry
geometric transformation
reflection
geometry proposed