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Byju's Answer
Standard XII
Mathematics
Definition of a Determinant
z and w are n...
Question
z and w are non zero complex number and / z / = /w/ and arg( z ) +arg ( w ) = +pie therefore z = , where / / is denoted as modulus
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Similar questions
Q.
Let
z
and
w
be two non-zero complex numbers such that
|
z
|
=
|
w
|
and
a
r
g
(
z
)
+
a
r
g
(
w
)
=
π
, then
z
equals
Q.
Let z & w be two non zero complex numbers such that
|
z
|
=
|
w
|
and
A
r
g
z
+
A
r
g
w
=
π
, then z equals
Q.
Let
z
and
w
be two non- zero complex numbers such that
|
z
|
=
|
w
|
and
arg
(
z
)
+
arg
(
w
)
=
π
. Then the value of
(
z
+
¯
¯¯
¯
w
)
10
is
Q.
Let
z
and
w
be two non- zero complex numbers such that
|
z
|
=
|
w
|
and
arg
(
z
)
+
arg
(
w
)
=
π
. Then the value of
(
z
+
¯
¯¯
¯
w
)
10
is
Q.
Let
z
=
1
+
i
b
=
(
a
,
b
)
be any complex number,
a
,
b
,
ϵ
R
and
√
−
1
=
i
.
Let
z
≠
0
+
0
i
,
a
r
g
z
=
tan
−
1
(
I
m
z
R
e
z
)
where
−
π
<
a
r
g
z
≤
π
a
r
g
(
¯
z
)
+
a
r
g
(
−
z
)
=
{
π
,
i
f
a
r
g
(
z
)
<
0
−
π
,
i
f
a
r
g
(
z
)
>
0
Let
z
&
w
be non-zero complex numbers such that they have equal modulus values and
a
r
g
z
−
a
r
g
¯
w
=
π
,
then z equals
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