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

Answer 1

Real part of z = 9
Imaginary Part = 3i
Conjugate of z is 9 - 3i

Answer 2

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.