Equation for Perpendicular Bisector of Two Points in Complex Plane/Examples/2+i, 3-2i/Parametric Form 1

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Example of Use of Equation for Perpendicular Bisector of Two Points in Complex Plane

Let $L$ be the perpendicular bisector of the straight line through $2 + i$ and $3 - 2 i$ in the complex plane.

Then $L$ can be expressed by the equation:

$z - \paren {\dfrac 5 2 - \dfrac i 2} = t \paren {3 + i}$


Proof




Sources