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

If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, then arg(z1z4)+arg(z2z3) equals


A
π2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3π2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
π
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

We have z2 and ¯z1 and z4=¯z3
Therefore z1z2=|z1|2 and z3z4=|z3|2
Now arg(z1z4)+arg(z2z3)=arg(z1z2z4z3)
=arg(|z1|2|z3|2)=arg(|z1z3|)=0

( Argument of positive real number is zero).


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