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

The locus of the point z=x+iy satisfying the equation (z-1)(z+1)=1 is given by


A

x=0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

y=0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

x=y

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

x+y=0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

x=0


Explanation of the correct option.

Compute the locus:

Given: (z-1)(z+1)=1

(z-1)=(z+i)

Take z=x+iy

x+iy-1=x+iy+1

x-12+(y)2=(x+1)2+(y)2

x2+1-2x+y2=x2+1+2x+y2

4x=0

x=0

Hence the locus of the point is x=0.

Option A is the correct answer.


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Distance Formula
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon