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Area of a polygon region bounded by a graph of |x - a| terms and a line

This type of question, asked 3 times: 2021 Paper 25, 28 Jun 2022, 6 Apr 2023. All 3 questions below, oldest first.

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  1. Question 1

    2021 Paper 25

    81
    The area of the region bounded by the curve y=∣∣x−1∣−2∣y=\big||x-1|-2\big| and the line y=2y=2 is ____.

  2. Question 2

    28 Jun 2022

    159
    The area of the bounded region enclosed by the curve y=3−∣x−12∣−∣x+1∣y = 3 -\left| x -\frac{1}{2} \right|- |x + 1| and the xx-axis is

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  3. Question 3

    6 Apr 2023

    159
    The area bounded by the curves y=∣x−1∣+∣x−2∣y = |x - 1| + |x - 2| and y=3y = 3 is equal to

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