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Byju's Answer
Standard XI
Mathematics
Cube Root of a Complex Number
If ω is a cub...
Question
If
ω
is a cube root of unity, then
(
3
+
5
ω
+
3
ω
2
)
2
+
(
3
+
3
ω
+
5
ω
2
)
2
is equal to
A
4
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B
-4
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C
None of these
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Solution
The correct option is
B
-4
Given exp.
=
{
3
(
1
+
ω
2
)
+
5
ω
}
2
+
{
3
(
1
+
ω
)
+
5
ω
2
}
2
=
(
−
3
ω
+
5
ω
)
2
+
(
−
3
ω
2
+
5
ω
2
)
2
=
4
ω
2
+
4
ω
=
−
4
Suggest Corrections
6
Similar questions
Q.
If
ω
is a non real cube root of unity, then
1
+
2
ω
+
3
ω
2
2
+
3
ω
+
ω
2
+
2
+
3
ω
+
ω
2
3
+
ω
+
2
ω
2
=
Q.
If
ω
is a complex cube root of unity, then
225
+
(
3
ω
+
8
ω
2
)
2
+
(
3
ω
2
+
8
ω
)
2
=
Q.
If '
ω
' is a complex cube root of unity, then
225
+
(
3
ω
+
8
ω
2
)
2
+
(
3
ω
2
+
8
ω
)
2
=
Q.
If
ω
is a nonreal cuberoot of unity then
1
+
2
ω
+
3
ω
2
2
+
3
ω
+
ω
2
+
2
+
3
ω
+
ω
2
3
+
ω
+
2
ω
2
is equal to
Q.
If
ω
is an imaginary cube root of unity, then the equation whose roots are
2
ω
+
3
ω
2
,
2
ω
2
+
3
ω
is
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