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Mathematics
Mathematics
Problem
If
ω
\omega
ω
is a cube root of unity but not equal to 1, then minimum value of
∣
a
+
b
ω
+
c
ω
2
∣
|a + b\omega + c\omega^2|
∣
a
+
bω
+
c
ω
2
∣
, (where
a
,
b
a, b
a
,
b
and
c
c
c
are integers but not all equal), is a. 0 b.
3
2
\frac{\sqrt{3}}{2}
2
3
c. 1 d. 2
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