Question:
Write the equation of the circle through 0, 2+2i, and 2-2i.
Answer:
The circle pass through (0,0), (2,2), (2,-2)
So, the circle is centerd at (2,0) and has radius 2.
Thus, the equation would be: (x-2)^2 + y^2 = 4
In complex number notation: |z-2|=2, where z is complec number.