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Find the complex number Z, the greatest ...

Find the complex number Z, the greatest in absolute value which satisfies `|z-2 +2i| = 1`

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`|z-2+2i| = 1`
With this equation, we can create a circle with center `(2,-2)` and radius `1` on the coordinate axis.
Let `O` is the origin and `O'` is the center of the circle.
Please refer to video for he diagram.
Maximum value of `Z` will be on point `P` in the figure.
`:. OP = OO'+O'P = 2sqrt2+1`
So, cordinates of `P` will be, `(OP sintheta, - OPcostheta)`.
Here, `theta = 45^@`
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