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

If three complex numbers are in A.P., then they lie on

A
A circle in the complex plane
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
A straight line in the complex plane
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
A parabola in the complex plane
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 B A straight line in the complex plane

Let z1,z2,z3 be three complex numbers in A.P.
Then 2z2=z1+z3.
Thus the complex number z2 is the mid point of the line joining the points zi and z3
So the three points z1,z2 and z3 are in a straight line.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Chemical Properties
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon