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

Equation of a perpendicular bisector Problem set A Answers

Skills

    1. (a) Midpoint \((3, 5)\); \(y=-x+8\)
    2. (b) Midpoint \((5, 1)\); \(y=5x-24\)
    3. (c) Midpoint \((8, 4)\); \(y=\frac{1}{2}x\)

  2. \(y=\frac{4}{3}x+\frac{5}{3}\)

  3. \(2x+3y=21\)

    1. (a) \(y=4\)
    2. (b) \(x=4\)

  5. \((3, 9)\)

In context

    1. (a) \(y=x+1\)
    2. (b) M is nearer

  2. \(4x-5y=-5\)

    1. (a) \(y=-2x+18\)
    2. (b) \((4, 10)\)

Stretch

    1. (a) \(y=-\frac{3}{2}x+\frac{21}{2}\)
    2. (b) Both distances are \(5.10\)

  2. \((6, 3)\)

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