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

If arg (Z1+Z2)=0 and |z1|=|z2|=1. then.

A
z1+z2=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
z1¯¯¯z2=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
z1=¯¯¯z2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
none
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B z1=¯¯¯z2
We have,
arg(Z1+Z2)=0|Z1|=1|Z2|=1
Z1+Z2=k(k>0)Z1=cosθ+isinθZ2=cosθ+isinθ
cosθ+cosθ+(isinθ+isinθ)=k
sinφ=sinθ
cosφ=cosθas|Z2|=1
Z1=cosθ+isinθ
Z2=cosθisinθ
Z1=¯¯¯¯¯¯Z2
Then,
Option C is correct answer.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Properties of Modulus
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon