Question

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

Answer 1

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

Explanation:

Answer 2

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

Explanation:

The given complex number is

`z=9+3i` ... (1)

If a complex number is defined as

`z=a+bi` ... (2)

Where, a is real part of z and b is imaginary part of z.
`z=a-ib` 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.
`3i-z=3i-(9+3i)=3i-9-3i=-9`

5.
`z-9=(9+3i)-9=3i+9-9=3i`

6.
`9-z=9-(9+3i)=9-9-3i=-3i`

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