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

If z and ω are two complex numbers such that |zω|=1 and arg(z)arg(ω)=3π2, then arg(12¯¯¯zω1+3¯¯¯zω) is
(Here arg(z) denotes the principal argument of complex number z )

A
3π4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3π4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
π4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
π4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 3π4
z=reiθ ω=1rei(θ3π/2)
12¯¯¯zω1+3¯¯¯zω=12eiθei(3π/2+θ)1+3eiθei(3π/2+θ)=12i1+3i

arg(12i1+3i)=arg(510510i)=3π4

flag
Suggest Corrections
thumbs-up
27
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Euler's Representation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon