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IB Mathematics: Applications and Interpretation HL · 12.8: Voronoi Diagrams · 12.8.2

Equation of a perpendicular bisector Problem set B Answers

Skills

    1. (a) Midpoint \((5, 5)\); \(y=2x-5\)
    2. (b) Midpoint \((3, 9)\); \(y=-x+12\)
    3. (c) Midpoint \((7, 7)\); \(y=\frac{1}{2}x+\frac{7}{2}\)

  2. \(y=-\frac{4}{3}x-\frac{2}{3}\)

  3. \(4x-y=14\)

    1. (a) \(y=1\)
    2. (b) \(x=-1\)

  5. \((-4, -5)\)

In context

    1. (a) \(y=-\frac{3}{4}x+9\)
    2. (b) T is nearer

  2. \(x+2y=14\)

    1. (a) \(y=5x-24\)
    2. (b) \((5, 1)\)

Stretch

    1. (a) \(y=\frac{3}{2}x-2\)
    2. (b) Both distances are \(8.06\)

  2. \((9, 4)\)

jmaths.xyz · AI HL · 12.8.2 Equation of a perpendicular bisector