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

If complex number z satisfies |z|+z=2+i, then z is

A
z=34+2i
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
z=34+i
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
z=1+i
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
z=35+i
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B z=34+i
Let z=x+iy
|z|+z=(2+i)x2+y2+x+iy=(2+i)
By comparing real and imaginary part, we get
x2+y2+x=2 and y=1
(2x)2=x2+y2(2x)2=x2+1x=34 y=1, x=34

Hence,
z=34+i

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