Question

Which of the following expressions is the conjugate of a complex number with 3 as the real part and −2i as the imaginary part?

Answer 1

The options for this question are missing. Here are the missing options:

1) 3 + 2i  

2) 3 − 2i  

3) 3i + 2  

4) 3i − 2

Answer

z = x + iy  

z* = x - iy  

where x = Re z, y = Im z  

So with z = 3 - 2i  

z* = 3 + 2i  

with x = 3, y = -2  

-2i is NOT the imaginary part of z.

The imaginary part is -2  

The imaginary part is the real number whose coefficient is the imaginary number i.