Home
Class 11
MATHS
Find the multiplicative of the following...

Find the multiplicative of the following complex number: `\ 4-3i`

Text Solution

Verified by Experts

Given `(4-3i)`
And we have to find multiplicative inverse of this.
Let `z=x+iy` be multiplication inverse of `4−3i` then we have
`(x+iy)(4−3i)=1`
`4x−(3x)i+4yi-3y(i^2)=1`
`4x+3y-(3x-4y)i=1`
Now comparing real and imaginary parts we get,
...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|117 Videos
  • DERIVATIVES

    RD SHARMA|Exercise Solved Examples And Exercises|236 Videos

Similar Questions

Explore conceptually related problems

Find the multiplicative of the following complex number: 1-i

Find the multiplicative of the following complex number: (1+i sqrt(3))^(2)

Find the multiplicative of the following complex number: sqrt(5)+3i

Find the multiplicative inverse of the following complex number: 3+2i

Find the multiplicative inverse of the following complex number: (2+sqrt(3)i)^(2)

Find the multiplicative inverse of the following complex numbers: (i) 4-3i (ii) 3+2i

Find the conjugates of the following complex number: 4-5i

Find the square root of the following complex number: 1-i

Find the multiplicative inverse of the complex number -i

Find the square root of the following complex number: -i