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CBSE XI
>>
Math
>>
Complex Numbers and Quadratic Equations
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Q)
Given,
ω
is imaginary cube root of unity,the value of the expression
1
(
2
−
ω
)
(
2
−
ω
2
)
+
2
(
3
−
ω
)
(
3
−
ω
2
)
+
.
.
.
.
.
.
(
n
−
1
)
(
n
−
ω
)
(
n
−
ω
2
)
is
(
A
)
1
4
n
2
(
n
+
1
)
2
−
n
(
B
)
1
4
n
2
(
n
+
1
)
2
+
n
(
C
)
1
4
n
2
(
n
−
1
)
2
−
n
(
D
)
1
4
n
2
(
n
−
1
)
2
+
n
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