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

The complex number z satisfying the equation |zi|=|z+1|=1 is

A
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
1+i
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1+i
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
1i
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A 0
C 1+i
Let z=x+iy
|zi|=|z+1|=1

|zi|=|z+1|
x2+(y1)2=(x+1)2+y2
x2+y22y+1=x2+2x+1+y2x=y (1)

|z+1|=1
(x+1)2+x2=1 [From (1)]2x2+2x=0x(x+1)=0
x=0,1
y=0,1

z=0,1+i

flag
Suggest Corrections
thumbs-up
7
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Commercial Hunting
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon