Equation for Perpendicular Bisector of Two Points in Complex Plane/Examples

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

Perpendicular Bisector of $2 + i$ and $3 - 2 i$

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

Then $L$ can be expressed as an equation in the following ways:

Parametric Form: $1$

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

Parametric Form: $2$

$x = 3 t + \dfrac 5 2, y = t - \dfrac 1 2$

Standard Form

$x - 3 y = 4$