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?

3 + 2i
3 – 2i
3i + 2
3i – 2

Answer 1

we know that

The conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign

In this problem we have

`(3-2i)`

so

the conjugate is equal to

`(3+2i)` -----> equal real part and imaginary part equal in magnitude but opposite in sign

the answer is the option

`(3+2i)`

Answer 2

(A)

Explanation:

It is given that there is a complex number with 3 as the real part and –2i as the imaginary part that is:

The number is=
`3-2i`

Now, The conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign.

Thus, the complex conjugate of
`3-2i` is
`3+2i` as number remains same with equal real and imaginary part in magnitude but opposite in sign.

Thus, option A is correct.