1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XI
Mathematics
Properties of Conjugate of a Complex Number
If π5 and ...
Question
If
π
5
and
π
3
are respectively the arguments of
¯
¯
¯
z
1
and
z
2
, what is the value of
(
a
r
g
z
1
+
a
r
g
z
2
)
?
Open in App
Solution
arguments of
¯
z
1
=
π
/
5
then, arguments of
z
2
=
−
π
5
and arguments of
z
2
=
π
3
∴
arguments
z
1
+ arguments
z
2
=
−
π
5
+
π
3
=
2
15
π
Suggest Corrections
0
Similar questions
Q.
If
|
z
1
−
z
2
|
=
|
z
1
|
+
|
z
2
|
, then prove that
a
r
g
(
z
1
)
−
a
r
g
(
z
2
)
=
π
. I
Q.
If
z
1
,
z
2
are complex numbers then t
he correct match List- I to List II is:
List - I
List - II
A) arg z_1z_2
1)
a
r
g
z
1
−
a
r
g
z
2
B)
a
r
g
z
1
¯
¯¯¯
¯
z
2
2)
a
r
g
z
1
−
a
r
g
z
2
=
π
2
C)
|
z
1
+
z
2
|
=
|
z
1
−
z
2
|
3)
a
r
g
z
1
=
a
r
g
z
2
D)
|
z
1
+
z
2
|
2
4)
a
r
g
z
1
+
a
r
g
z
2
E)
|
z
1
+
z
2
|
=
|
z
1
|
+
|
z
2
|
5)
r
2
1
+
r
2
2
+
2
r
1
r
2
c
o
s
(
θ
1
−
θ
2
)
Q.
If
π
3
and
π
4
are the arguments of
z
1
and
¯
¯¯¯
¯
z
2
, then the value of arg
(
z
1
.
z
2
)
is
Q.
If
z
1
and
z
2
are two complex numbers such that
|
z
1
|
=
|
z
2
|
and
a
r
g
z
1
+
a
r
g
z
2
=
π
then
z
1
and
z
2
are
Q.
If
a
r
g
z
1
=
π
2
,
a
r
g
¯
¯
¯
z
2
=
π
4
, then
a
r
g
(
z
1
z
2
)
=
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Properties of Modulus
MATHEMATICS
Watch in App
Explore more
Properties of Conjugate of a Complex Number
Standard XI Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app