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Perplex
IB Math AIHL
/
Cartesian plane & lines
/

Problem Bank

IB Math AIHL
/
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.



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]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

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[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.



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]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!