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Area enclosed between two parabolas

This type of question, asked 9 times: 2021 Paper 2, 25 Jun 2022, 26 Jun 2022, 27 Jul 2022, 8 Apr 2023, 31 Jan 2024, 5 Apr 2024, 22 Jan 2025, 4 Apr 2026 S2. All 9 questions below, oldest first.

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  1. Question 1

    2021 Paper 2

    79
    The area of the region: R={(x,y):5x2≤y≤2x2+9}R=\left\{ (x,y):5x^{2}\leq y\leq 2x^{2}+ 9 \right\} is:

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  2. Question 2

    25 Jun 2022

    156
    The area of the region enclosed between the parabolas y2=2x−1y^{2}= 2x - 1 and y2=4x−3y^{2}= 4x - 3 is

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  3. Question 3

    26 Jun 2022

    157
    The area of the region bounded by y2=8xy^{2}= 8x and y2=y^{2}= 16(3−x)16(3 - x) is equal to:-

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  4. Question 4

    27 Jul 2022

    158
    The area of the region enclosed by y≤4x2,x2≤9yy \leq 4x^{2},x^{2}\leq 9y and y≤4y \leq 4, is equal to:

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  5. Question 5

    8 Apr 2023

    77
    The area of the region {(x,y):x2≤y≤8−x2,y≤7}\left\{ (x,y):x^{2}\leq y \leq 8 -x^{2},y \leq 7 \right\} is

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  6. Question 6

    31 Jan 2024

    161
    The area of the region enclosed by the parabola y=4x−x2y = 4x -x^{2} and 3y=(x−4)23y = (x - 4)^{2} is equal to

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  7. Question 7

    5 Apr 2024

    83
    The area of the region enclosed by the parabolas y=x2−5xy=x^{2}- 5x and y=7x−x2y= 7x-x^{2} is

  8. Question 8

    22 Jan 2025

    145
    The area of the region enclosed by the curves y=x2−4x+4y =x^{2}- 4x + 4 and y2=16−8xy^{2}= 16 - 8x is :

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  9. Question 9

    4 Apr 2026 S2

    68
    The area of the region bounded by the curves x+3y2=0x+ 3y^{2}= 0 and x+4y2=1x+ 4y^{2}= 1 is equal to :

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