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  • Perplex
    IB Math AIHL
    /
    Differentiation
    /

    Problem Bank

    [Maximum mark: 12]

    Consider the line ​L​ with slope ​−m, where ​m>0, passing through the point ​(3,5).

    1. Give an expression in terms of ​m​ for

      (i) the ​x​-intercept of the line,

      (ii) the ​y​-intercept of the line.

      [5]

    The line ​L​ forms a triangle with the coordinate axes.

    1. Show that the area of this triangle is ​A=2m9m2+30m+25​.

      [2]
    2. Find the minimum possible area of the triangle.

      [5]

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