MHT CET 2026 19th April Morning Shift | Area Under The Curves Question 6 | Mathematics

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

$\dfrac{\pi}{4}$

$\dfrac{\pi}{6}$

$\dfrac{\pi}{3}$

$\dfrac{\pi}{2}$

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

The area (in sq. units) of the region enclosed by $\{(x, y) \mid y \leq x^2, xy \leq 8, y \geq 1\}$ is...

$8\log 2 - \dfrac{14}{3}$

$8\log 2 + \dfrac{7}{3}$

$16\log 2 + \dfrac{7}{3}$

$16\log 2 - \dfrac{14}{3}$

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

The area of the region bounded by the parabola $y^2=27 x$ and the line $x=1$ is ________ sq.units.

$2 \sqrt{3}$

$3 \sqrt{3}$

$4 \sqrt{3}$

$7 \sqrt{3}$

MHT CET 2025 26th April Evening Shift

MCQ (Single Correct Answer)

-0

If the area bounded by the curve $x^2=4 y, \mathrm{X}$-axis and the line $x=4$ is divided into equal areas by the line $x=\alpha$, then the value of $\alpha$ is …

$\frac{1}{32}$

$(32)^{\frac{1}{2}}$

$(32)^{\frac{1}{3}}$

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