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

If z and w be two complex numbers such that |z|1, |w|1 and |z+iw|=|zi ¯¯¯¯w|=2,then

A
|z|=|w|=12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
|z|=12,|w|=34
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
|z|=|w|=34
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
|z|=|w|=1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D |z|=|w|=1
|z+iw||z|+|iw|
2|z|+|i||w|
|z|+|w|2
But from given condition, |z|+|w|2
|z|=|w|=1

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