Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the multiplicative inverse of each of the complex numbers. (11) 4-3i

Find the multiplicative inverse of each of the complex numbers.

Q : 11    4-3i

Answers (1)

best_answer

Let    z = 4-3i
Then,
\bar z = 4+ 3i
And 
|z|^2 = 4^2+(-3)^2 = 16+9 =25
Now, the multiplicative inverse is given by
z^{-1}= \frac{\bar z}{|z|^2}= \frac{4+3i}{25}= \frac{4}{25}+i\frac{3}{25}

Therefore, the multiplicative inverse is

   \frac{4}{25}+i\frac{3}{25}

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 board exams 2025 from February 15; Class 10, 12 subject-wise marks distribution
anam-khan

CBSE Date Sheet 2025: Class 10, 12 board exam dates soon on cbse.gov.in; previous trends, sample papers
anam-khan

CBSE Board Exams 2025: 75% attendance must for students to be eligible, reiterates board

Latest Question