Question

|z-i| = 3 defines a circle in the complex plane, find radius and centre.

Answer 1

i know the radius is 3, not sure how to find the centre though

Answer 2

There is formula :P well basically you treat the x as real and y as imaginary
|z-(0x + i)|
therefore centre is?

Answer 3

:o 0,1?

Answer 4

yea lol

Answer 5

wow that was easy..lol thx

Answer 6

whats the formula btw?

Answer 7

z=x+iy

Answer 8

Errrr...... Nvm bout that haha.
well z= x + yi
so
|(x-0)+i(y-1)|
Now you can clearly see its (0,1)

Answer 9

continue lol

Answer 10

:o ok. ty

Answer 11

np :)
i would like to see the rest of complex analysis Qn :)

Answer 12

o, thats it... it was a short question

Answer 13

xD ok lol
good luck !