Match each description when z = 9 + 3i.
1. real part of z a.3i
2. imaginary part of b. z9
3. complex conjugate of c. z9 - 3i
4. 3i - z d.-3i
5. z - 9 e.3
6. 9 - z f.-9

The matching is defined as 1-b, 2-e, 3-c, 4-f, 5-a, 6-d.

Step-by-step explanation:

The given complex number is

      ... (1)

If a complex number is defined as

     ... (2)

Where, a is real part of z and b is imaginary part of z. is the complex conjugate of z.

On comparing (1) and (2) we can say that

1. Real part of z is 9.

2.Imaginary part of z is 3.

3.Complex conjugate of z is 9 - 3i.

4.

5.

6.

Therefore the matching is defined as 1-b, 2-e, 3-c, 4-f, 5-a, 6-d.

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