IB Mathematics Applications & Interpretation Question Type 5: Determining Equations of Edges with Specific Domains Exercises

In the Voronoi diagram for $A(1,1)$, $B(5,1)$, $C(3,4)$ and $D(7,4)$, find the edge between $A$ and $B$ and its domain.

For points $A(-1,2)$, $B(3,-2)$ and $C(4,4)$, determine the Voronoi edge equation between $B$ and $C$ and its domain.

Points $A(2,4)$, $B(2,-2)$ and $C(5,1)$ form a Voronoi diagram. Find the equation of the edge between $A$ and $B$ and state its domain.

In the Voronoi diagram of $A(1,0)$, $B(5,2)$ and $C(3,6)$, determine the edge between $B$ and $C$ and specify its domain.

For points $A(2,2)$, $B(6,5)$ and $C(10,2)$, find the equation of the line containing the Voronoi edge between $A$ and $C$, and state the range of $y$-values for which this edge is defined.

In the Voronoi diagram for points $A(1,0)$, $B(4,0)$ and $C(2,3)$, determine the equation of the edge between $A$ and $B$ and specify its domain.

In the Voronoi diagram of $A(2,1)$, $B(6,3)$ and $C(4,7)$, find the equation of the edge between $A$ and $B$ and give its domain.

For the sites $A(0,0)$, $B(6,0)$, $C(4,4)$ and $D(0,4)$, find the equation of the Voronoi edge between $C$ and $D$ and state the interval of $y$-values for which it exists.

In the Voronoi diagram generated by sites $A(0,3)$, $B(2,7)$ and $C(-2,8)$, find the equation of the edge between $B$ and $C$ and specify its domain.

For $A(-3,-1)$, $B(1,2)$ and $C(4,-2)$, determine the edge between $A$ and $B$ and its domain.