Question

Which of the following is the conjugate of a complex number with 4 as the real part and −3i as the imaginary part?

−3 + 4i

 

3 − 4i  

4 + 3i

 4 − 3 i

Answer 1

The conjugate of a complex number
`z=a+bi~(a,b\in\mathbb{R})` is
`\overline{z}=a-bi`. So, for the complex
`z=4-3i`, the conjugate is
`\overline{z}=4+3i`.

Answer 2

`4+3i`

Explanation:

we know that

To find the conjugate complex of a complex number, simply change the sign of the imaginary part of the complex number

In this problem we have

`4-3i`

so

the complex conjugate is equal to

`4+3i`