Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Let z1=2-i, z2=-2+i, find (ii) Im (1/z1 conjugate z1)

Q: 12    Let  \small z_1=2-i,z_2=-2+i.   Find 

              (ii)  \small Im\left ( \frac{1}{z_1\bar{z_1}} \right )

Answers (1)

best_answer

It is given that 
z_1= 2-i
Therefore,
\bar z_1= 2+i
NOw,
z_1\bar z_1= (2-i)(2+i)= 2^2-i^2=4+1=5                                           (using \ (a-b)(a+b)= a^2-b^2)
Now,
\frac{1}{z_1\bar z_1}= \frac{1}{5}
Therefore,
Im\left ( \frac{1}{z_1\bar z_1} \right )= 0
Therefore, the answer is 0

Posted by

Gautam harsolia

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE practical exams 2026 will be cancelled over non-compliance with guidelines, says board

Latest Question