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Byju's Answer
Standard XIII
Mathematics
Argument of a Complex Number
Let z,w be co...
Question
Let
z
,
w
be complex numbers such that
¯
z
+
i
¯
w
=
0
and
arg
z
w
=
π
. Then
arg
z
equals
A
π
4
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B
π
2
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C
3
π
4
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D
5
π
4
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Solution
The correct option is
C
3
π
4
¯
z
+
i
¯
w
=
0
⇒
z
−
i
w
=
0
⇒
z
=
i
w
…
[
1
]
arg
z
w
=
π
⇒
arg
z
+
arg
w
=
π
⇒
arg
z
+
arg
z
i
=
π
⇒
2
arg
z
−
arg
i
=
π
⇒
2
arg
z
−
π
2
=
π
⇒
arg
z
=
3
π
4
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0
Similar questions
Q.
Let
z
,
w
be complex numbers such that
¯
¯
¯
z
+
i
¯
¯¯
¯
w
=
0
and
arg
(
z
w
)
=
π
. Then
a
r
g
(
z
)
equals:
Q.
Let
z
,
w
be two non-zero complex numbers. If
¯
¯¯¯¯¯¯¯¯¯¯¯¯¯
¯
z
+
i
w
=
0
and
a
r
g
(
z
w
)
=
π
then
a
r
g
z
is equal to
Q.
Let
z
and
w
be complex numbers such that
¯
¯
¯
z
+
i
¯
¯¯
¯
w
=
0
and
a
r
g
z
w
=
π
. Then arg
z
equals
Q.
If
Z
and
W
are two complex numbers such that
¯
z
+
i
¯
w
=
0
and
a
r
g
(
z
w
)
=
π
then
a
r
g
(
Z
)
=
____________
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
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Standard XIII Mathematics
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