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Byju's Answer
Standard XII
Mathematics
Properties of Determinants
WRITE THE FOL...
Question
WRITE THE FOLLOWING SETS IN TABULAR FORM.
(I) {x:x is a cube root of unity}
(II){x:x is a fourth root of unity}
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Solution
1
1
,
w
,
w
2
,
where
w
=
-
1
+
3
i
2
2
1
,
w
,
w
2
,
w
3
=
1
,
w
,
w
2
Since
w
3
=
1
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Similar questions
Q.
If
ω
≠
1
is a cube root of unity, then roots of
(
x
−
2
i
)
3
+
i
=
0
are
Q.
If
ω
is a cube root of unity, then a root of the following equation is?
∣
∣ ∣ ∣
∣
x
+
1
ω
ω
2
ω
x
+
ω
2
1
ω
2
1
x
+
ω
∣
∣ ∣ ∣
∣
.
Q.
If
x
=
a
,
y
=
b
ω
,
z
=
c
ω
2
, where
ω
is a complex cube root of unity, then
x
a
+
y
b
+
z
c
=
Q.
If
ω
is a complex cube root of unity, then a root of the equation
∣
∣ ∣ ∣
∣
x
+
1
ω
ω
2
ω
x
+
ω
2
1
ω
2
1
x
+
ω
∣
∣ ∣ ∣
∣
=
0
, is
Q.
If
ω
≠
1
is a cube root of unity and
∣
∣ ∣ ∣
∣
x
+
ω
2
ω
1
ω
ω
2
1
+
x
1
x
+
ω
ω
2
∣
∣ ∣ ∣
∣
=
0
, then value of x is
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