Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13 :
 4 - 3i

Solution:

The given complex number is,

z = 4 - 3i

Then, z = 4 + 3i and

|z|² = 4² + (- 3)²

= 16 + 9

= 25

Therefore, the multiplicative inverse of 4 - 3i is given by

z^{- 1} = z/|z|²

= (4 + 3i)/25

= 4/25 + i (3/25)

NCERT Solutions Class 11 Maths Chapter 5 Exercise 5.1 Question 11

Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13 : 4 - 3i

Summary:

A complex number is given. We have found the complex number's multiplicative inverse and it comes out to be 4/25 + i (3/25).