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Friday, January 17, 2014

Question of the week #6

Let $z_{1}=x_{1}+iy_{1}$ and $z_{2}=x_{2}+iy_{2}$ be two points on the complex plane. They determine a line segment. Consider the perpendicular bisector of this line segment. Find the point where this perpendicular bisector cuts the vertical (i.e. the $Oy$) axis. 

Waiting for your thoughts and ideas till next week!

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