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Area enclosed between a parabola and a straight line

This type of question, asked 10 times: 3 May 2023 S1, 11 May 2023 S2, 15 May 2023 S2, 16 May 2023 S1, 9 May 2024 S1, 11 May 2024 S1, 19 Apr 2025 S2, 23 Apr 2025 S1, 11 Apr 2026 S2, 12 May 2026 S2. All 10 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    119
    The area (in sq. units) of the region bounded by the curve x2=4yx^2=4y and the straight line x=4y−2x=4y-2 is

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  2. Question 2

    11 May 2023 S2

    109
    The area (in sq. units) of the region bounded by y−x=2y-x=2 and x2=yx^2=y is equal to

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  3. Question 3

    15 May 2023 S2

    108
    The area enclosed between the parabola y2=4xy^2 = 4x and the line y=2x−4y = 2x - 4 is

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  4. Question 4

    16 May 2023 S1

    123
    The area (in sq. units) of the region described by {(x,y):y2≤2x}\{(x,y) : y^2 \leq 2x\} and y≥(4x−1)y \geq (4x-1) is

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  5. Question 5

    9 May 2024 S1

    141
    The area (in sq. units) of the region A={(x,y):y22≤x≤y+4}A=\{(x,y): \frac{y^2}{2}\leq x\leq y+4\} is

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  6. Question 6

    11 May 2024 S1

    129
    The area of the region bounded by the parabola y=x2y = x^2 and the curve y=∣x∣y = |x| is

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  7. Question 7

    19 Apr 2025 S2

    111
    The area enclosed between the curves y2=4xy^{2}= 4x and y=∣x∣y= |x| is

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  8. Question 8

    23 Apr 2025 S1

    118
    The area bounded by the curve x2=8yx^{2}= 8y and the straight line x−8y+2=0x- 8y+ 2 = 0 is

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  9. Question 9

    11 Apr 2026 S2

    84
    If the area enclosed between the curves y2=4kxy^2 = 4kx and y=kx,k>0y = kx, k > 0 is 2k3\dfrac{2k}{3} sq. units then k=k =

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  10. Question 10

    12 May 2026 S2

    84
    The area of the region bounded by the parabola y2=4x−2y^2 = 4x - 2 and the line y=2x−1y = 2x - 1 is...(in sq. units)

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