1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Properties of Argument
The principal...
Question
The principal mod-amp form
2
√
2
+
i
2
√
2
is
A
2
c
i
s
π
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
√
2
c
i
s
π
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4
c
i
s
π
4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
3
√
3
c
i
s
π
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
4
c
i
s
π
4
Let
z
=
a
+
i
b
=
2
√
2
+
2
√
2
i
∴
|
z
|
=
√
a
2
+
b
2
=
√
8
+
8
=
4
amp(z)
=
tan
−
1
(
b
/
a
)
=
tan
−
1
(
1
)
=
π
4
Suggest Corrections
0
Similar questions
Q.
The principal mod-amp form of
1
+
7
i
(
2
−
i
)
2
is
Q.
The principal mod-amp form of
2
−
√
3
+
i
is
Q.
The complex number
z
=
−
1
+
i
√
3
can be represented in polar form as
(
where
c
i
s
θ
=
cos
θ
+
i
sin
θ
)
Q.
If
m
and
n
are the smallest positive integers satisfying the relation
(
2
C
i
s
π
6
)
m
=
(
4
C
i
s
π
4
)
n
, then
(
m
+
n
)
has the value equal to
Q.
The principal mod-amp form of
−
√
7
+
i
√
21
is
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
De Moivre's Theorem
MATHEMATICS
Watch in App
Explore more
Properties of Argument
Standard XII 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