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  • Perplex
    IB Math AISL
    /
    Cartesian plane & lines
    /

    Problem Bank

    [Maximum mark: 4]

    An ​8km​ long straight beach is represented by the ​x​-axis from ​x=0km​ to ​x=8km. Two lifeguard stations are located at ​A(2,2)​ and ​B(6,2), where the ​y​-coordinate is the distance inland in ​km.


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    The beach manager decides that each point on the sand should be patrolled by the nearer station.

    1. Write down the equation of the straight line that separates the patrol zones of stations ​A​ and ​B.

      [2]

      To earn a crown, get your answer ready before you reveal the options!

    A swimmer has an emergency at ​P(3,4).​

    1. Determine, and justify, which station will watch over the swimmer.

      [2]

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