Advertisement Remove all ads

Write the Value of Arg ( Z ) + Arg ( ¯ Z ) . - Mathematics

Write the value of \[\arg\left( z \right) + \arg\left( \bar{z} \right)\].

Advertisement Remove all ads

Solution

Let z be a complex number with argument θ.
Then,

\[z = r e^{i\theta} \]

\[ \Rightarrow \bar{z} = \bar{{r e^{i\theta}}} = r e^{- i\theta}\]

⇒ argument of \[\bar{z}\] is −θ.

Thus, 

\[\arg\left( z \right) + \arg\left( \bar{z} \right) = 0\].

 

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 13 Complex Numbers
Q 17 | Page 63
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×