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

Let z=x+iy be a non-zero complex number such that z2=i|z|2, where i=1. Then z lies on the

A
line, y=x
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
real axis
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
imaginary axis
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
line, y=x
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A line, y=x
z=x+iy
z2=i|z|2
x2y2+2ixy=i(x2+y2)
Equating real terms,
x2y2=0x2=y2
Equating imaginary terms,
2xy=x2+y2
(xy)2=0x=y

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
De Moivre's Theorem
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon