CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If z(223i)2=i(3+i)4, then arg(z)=

A
π6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
π6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
7π6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
5π6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C π6
We have\quad z(223i)2=i(3+i)4
4z=i(1i3)2
4z=i(2ω)2
4z=4iω2
z=iω2=3212i
arg(z)=π6

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Geometric Representation and Trigonometric Form
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon