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Area between a parabola with horizontal axis and a line (horizontal strips)

This type of question, asked 5 times: 14 Jun 2022, 24 Jan 2023, 30 Jan 2024, 4 Apr 2024, 6 Apr 2026 S1. All 6 questions below, oldest first.

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  1. Question 1

    14 Jun 2022

    176
    The area (in sq. units) of the region enclosed between the parabola y2=2xy^{2}= 2x and the line x+y=4x+y= 4 is

  2. Question 2

    24 Jan 2023

    64
    The area enclosed by the curves y2+4x=4y^{2}+ 4x = 4 and y−2x=2y - 2x = 2 is:

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  3. Question 3

    24 Jan 2023

    179
    If the area of the region bounded by the curves y2−2y=−x,x+y=0y^{2}- 2y = - x,x + y = 0 is AA, then 8 A8\text{ }A is equal to

  4. Question 4

    30 Jan 2024

    68
    The area (in square units) of the region bounded by the parabola y2=4(x−2)y^{2}= 4(x- 2) and the line y=2x−8y= 2x- 8 is

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  5. Question 5

    4 Apr 2024

    159
    The area (in sq. units) of the region described by {(x,y):y2≤2x\left\{ (x,y):y^{2}\leq 2x \right., and  y≥4x−1}\left. \ y \geq 4x - 1 \right\} is

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  6. Question 6

    6 Apr 2026 S1

    69
    The area of the region {(x,y):0≤y≤6−x, y2≥4x−3, x≥0}\{(x,y):0 \leq y \leq 6 - x,\ y^{2}\geq 4x - 3,\ x \geq 0\} is :

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