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Akdeniz University MO
1999 Akdeniz University MO
5
geometry
geometry
Source:
January 31, 2016
geometry
Problem Statement
A circle centered with
O
O
O
.
C
C
C
is a stable point in circle. A chord
[
A
B
]
[AB]
[
A
B
]
, parallel to
O
C
OC
OC
.Prove that,
[
A
C
]
2
+
[
B
C
]
2
[AC]^2+[BC]^2
[
A
C
]
2
+
[
BC
]
2
is stable.
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