## Match each description when z = 9 + 3i. 1. Real part of z -9 2. Imaginary part of z 3 3. Complex conjugate of z 9

Question

Match each description when z = 9 + 3i.
1. Real part of z -9
2. Imaginary part of z 3
3. Complex conjugate of z 9 – 3i
4. 3i – z 9
5. z – 9 -3i
6. 9 – z 3i

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Step-by-step explanation:

We are given z = 9 + 3i

It is complex number which has one real and one imaginary part.

z = a + bi

a is real

b is imaginary (coefficient of i)

For given number

9 is real

3 is imaginary

For conjugate , flip the sign of i

a + bi  conjugate is a – bi

Therefore, The conjugate of 9 + 3i is  9 – 3i

# Match the following :-

1. Real part of z                                -9

2. Imaginary part of z                  3

3. Complex conjugate of z          9-3i

4. 3i – z                                         9

5. z-9                                                -3i

6. 9-z                                                 3i

Please find attachment for correct match.

2. Real part of z = 9
Imaginary Part = 3i
Conjugate of z is 9 – 3i