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) is

A
5π6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
π6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
π6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
2π3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C π6
z(223i)2=i(3+i)4
arg(z(223i)2)=arg(i(3+i)4)arg(z)+2arg(223i)=arg(i)+4arg(3+i)+2kπ,kZarg(z)+2(π3)=π2+4(π6)+2kπ,kZarg(z)=11π6+2kπ,kZ
If k=1
arg(z)=π6(π,π]
arg(z)=π6

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon