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

If z is a complex number such that π2arg(z)π2, then which of the following inequality is always true?

A
|z¯z||z|(arg z - arg¯z)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
|z¯z||z|(arg z - arg¯z)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
|z¯z|=|z|(arg z - arg¯z)
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 |z¯z||z|(arg z - arg¯z)

From the above diagram,
|z¯z| is length of chord AB while |z|(arg z - arg¯z) is arc length AB.
|z¯z||z|(arg z - arg¯z)

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