1.

If `|z-(3+4i)|

Answer» given: |Z - (3+4i)| `<=` 3
This shows that the ratius of circle is 3 unit and the center of circle is at point(3,4)C
dictance between O and C
`OC^2 = 3^2 + 4^2`
`OC^2` = 9+16
`OC^2` = 25
OC = 5 units
The complex number having the least magnitude will be
Z = `(5-3)/5` (3+4i)
Z = `2/5` (3+4i)
Z = `6/5 + 8/5i`


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