Equation for Perpendicular Bisector of Two Points in Complex Plane/Examples
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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
- $x - 3 y = 4$