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Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesFinancial MathematicsMatricesComplex Numbers
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegrationDifferential Equations
Review VideosFormula BookletMy Progress
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Perplex
IB Math AIHL
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Voronoi Diagrams
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Problem Bank
IB Math AIHL
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Voronoi Diagrams
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Problem Bank

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[Maximum mark: 7]

A ​10m​  ​×​  ​10m​ warehouse floor is represented by the square ​0≤x≤10,  ​0≤y≤10.

Three robot-charging docks are located at ​A(2,2),  ​B(8,2), and ​C(5,8). The complete Voronoi diagram is shown to workers on a screen:

  1. Determine the equation of the perpendicular bisector that forms the boundary between the regions of docks ​B​ and ​C.

    [5]
    1 free

A robot is currently at the point ​P​​(7,6)​ and begins to run low on battery.

  1. State which dock it should drive to and provide a brief explanation why.

    [2]
[Maximum mark: 7]

A ​10m​  ​×​  ​10m​ warehouse floor is represented by the square ​0≤x≤10,  ​0≤y≤10.

Three robot-charging docks are located at ​A(2,2),  ​B(8,2), and ​C(5,8). The complete Voronoi diagram is shown to workers on a screen:

  1. Determine the equation of the perpendicular bisector that forms the boundary between the regions of docks ​B​ and ​C.

    [5]
    1 free

A robot is currently at the point ​P​​(7,6)​ and begins to run low on battery.

  1. State which dock it should drive to and provide a brief explanation why.

    [2]