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Area under the minimum of a parabola and a line

This type of question, asked 5 times: 25 Jul 2022, 27 Jan 2024, 29 Jan 2024, 28 Jan 2025, 7 Apr 2025. All 5 questions below, oldest first.

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  1. Question 1

    25 Jul 2022

    68
    The area of the region given by A={(x,y):x2≤y≤min⁡{x+2,4−3x}}A =\left\{ (x,y):x^{2}\leq y \leq \min\{ x + 2,4 - 3x\} \right\} is :

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  2. Question 2

    27 Jan 2024

    172
    If the area of the region {(x,y):0≤y≤min{2x,6x−x2}}\left\{ (x,y):0 \leq y \leq min\left\{ 2x,6x -x^{2} \right\} \right\} is AA, then 12A12A is equal to.........

  3. Question 3

    29 Jan 2024

    175
    Let the area of the region {(x,y)\{(x,y) : 0≤x≤3,0≤y≤0 \leq x\leq 3,0 \leq y\leq  min⁡{x2+2,2x+2}}\left. \ \min\left\{ x^{2}+ 2,2x + 2 \right\} \right\} be AA. Then 12 A12\text{ }A is equal to

  4. Question 4

    28 Jan 2025

    70
    The area (in sq. units) of the region {(x,y):0≤y≤2∣x∣+1,0≤y≤x2+1,∣x∣≤3}\left\{ (x,y):0 \leq y \leq 2|x| + 1,0 \leq y \leq x^{2}+ 1,|x| \leq 3 \right\} is

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  5. Question 5

    7 Apr 2025

    132
    If the area of the region {(x,y):1+x2≤y≤min⁡{x+7,11−3x}}\left\{ (x,y):1 +x^{2}\leq y \leq \min\{ x + 7,11 - 3x\} \right\} is A , then 3 A is equal to.

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