wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If |z|=1 and arg (z)=π4 then which of the following is /are true?

A
Modulus of (z5iz) is 2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Modulus of (z4iz) is 1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Principal argument of (z5iz) is π4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Principal argument is (z5iz) is π2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct options are
A Modulus of (z5iz) is 2
D Principal argument is (z5iz) is π2
Let z=eiπ4

z5iz=ei5π4i.eiπ4

=(1i)eiπ4

So |z5iz|=2

arg (z5iz)=3π4+π4=π2

z4iz=eiπi.eiπ4
So |z5iz|2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving Complex Equations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon