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Byju's Answer
Standard VIII
Mathematics
Addition and Subtraction of Algebraic Expression
Solve for z...
Question
Solve for
z
,
which satisfy
A
r
g
(
z
−
3
−
2
i
)
=
π
6
and
A
r
g
(
z
−
3
−
4
i
)
=
2
π
3
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Solution
From the figure, it is clear that there is no
z
,
which satisfy both ray
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Similar questions
Q.
If
a
r
g
(
z
+
a
)
=
π
6
and
a
r
g
(
z
−
a
)
=
2
π
3
,
(
a
∈
R
+
)
, then
Q.
The locus of z which satisfies the condition,
a
r
g
(
z
−
1
z
+
1
)
=
π
3
, is
Q.
The set of points on an Argand diagram which satisfy both
|
z
|
≤
4
&
A
r
g
z
=
π
3
is
Q.
Match the equation in
z
in
C
o
l
u
m
n
−
I
with the corresponding value of
a
r
g
(
z
)
in
c
o
l
u
m
n
−
I
I
.
C
o
l
u
m
n
−
I
(equation in z)
C
o
l
u
m
n
−
I
I
(principal value of arg(z))
z
2
−
z
+
1
=
0
−
2
π
/
3
z
2
+
z
+
1
=
0
−
π
/
3
2
z
2
+
1
+
i
√
3
=
0
π
/
3
2
z
2
+
1
−
i
√
3
=
0
2
π
/
3
Q.
The locus of the point
z
satisfying the condition
a
r
g
z
−
1
z
+
1
=
π
3
is
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