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  • Perplex
    IB Math AASL
    /
    Cartesian plane & lines
    /

    Problem Bank

    [Maximum mark: 11]

    Consider the points ​A(4,−1), ​B(−4,3)​ and ​C(−2,7). The line ​L​ passes through point ​C​ such that it is perpendicular to ​[AB].

    1. Find the equation of ​L, and show that it passes through ​B.

      [4]

    Another point, ​D, is plotted such that the lines ​[AB]​ and ​[CD]​ bisect each other.

    1. Find the coordinates of ​D.

      [5]
    2. Hence find the distance ​[AD].

      [2]

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