JEE Advance - Mathematics (2005 - No. 8)
If one the vertices of the square circumscribing the circle $$\left| {z - 1} \right| = \sqrt 2 \,is\,2 + \sqrt {3\,} \,i$$. Find the other vertices of the square.
(1 - √3) + i
-i√3
(√3 + 1) - i
(1 + √3) + i
-i