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Byju's Answer
Standard XII
Mathematics
nCr Definitions and Properties
If n is a m...
Question
If
n
is a multiple of
3
, then the value of
ω
n
+
ω
2
n
=
A
0
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B
1
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C
2
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D
−
1
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Solution
The correct option is
C
2
If
n
is a multiple of 3
w
2
+
w
2
n
=
(
w
3
)
n
3
+
(
w
3
)
2
n
3
=
1
+
1
=
2
Suggest Corrections
0
Similar questions
Q.
If
n
is not a multiple of 3 then the value of
ω
n
+
ω
2
n
=
Q.
Prove that
1
+
ω
n
+
ω
2
n
=
3
when n is the multiple of 3
Q.
If
n
is a positive integer not a multiple of
3
, then
1
+
ω
n
+
ω
2
n
=
Q.
Assertion :If
n
is an odd integer greater than 3 but not a multiple of 3, then
(
x
+
1
)
n
−
x
n
−
1
is divisible by
x
3
+
x
2
+
x
Reason: If
n
is an odd integer greater than
3
but not a multiple of
3
, we have
(
1
+
ω
n
+
ω
2
n
)
=
0
Q.
If
ω
is a non real cube root of unity and n is a positive integer which is not a multiple of 3, then
1
+
ω
n
+
ω
2
n
is equal to
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nCr Definitions and Properties
Standard XII Mathematics
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