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Area of a parabola y^2 = 4ax cut off by a vertical line x = c

This type of question, asked 3 times: 21 Apr 2025 S1, 19 Apr 2026 S1, 14 May 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    21 Apr 2025 S1

    112
    The area inside the parabola y2=4axy^{2}= 4ax, between the lines x=ax= a and x=4ax= 4a is equal to

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  2. Question 2

    19 Apr 2026 S1

    84
    If the area of the region bounded by the parabola y2=4kxy^2 = 4kx and the line x=kx = k, (where k>0k > 0) is 1283\dfrac{128}{3} sq. units, then the value of sin⁡−1(2k)\sin^{-1}\left(\dfrac{2}{k}\right) is equal to...

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  3. Question 3

    14 May 2026 S2

    86
    The area of the region bounded by the parabola y2=16xy^2 = 16x and the line x=4x = 4 is

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