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

The complex numbers z=x+iy which satisfy the equation |z5i||z+5i|=1, lie on

A
The x - axis
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
The straight line y = 5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
A circle passing through the origin
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A The x - axis
Given,

|z5i||z+5i|=1

|x+iy5i||x+iy+5i|=1

|x+i(y5)||x+i(y+5)|=1

x2+(y5)2x2+(y+5)2=1

x2+(y5)2=x2+(y+5)2

x2+(y5)2=x2+(y+5)2

10y=10y

20y=0

y=0

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Concepts
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon