Answer:
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
\(z=9+3i\) ... (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.
