1
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The area of the region lying in the first quadrant and bounded by the curve $y = 4x^2$, the Y-axis, and the lines $y = 2$, $y = 4$ is...
A
$\dfrac{1}{3}\left[8 + 2\sqrt{2}\right]$ sq. units
B
$\dfrac{1}{3}\left[8 - 2\sqrt{2}\right]$ sq. units
C
$\dfrac{1}{2}\left[8 - 2\sqrt{2}\right]$ sq. units
D
$\dfrac{1}{2}\left[8 + 2\sqrt{2}\right]$ sq. units
2
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The area bounded by the curves $y = |x| - 1$ and $y = -|x| + 1$ is
A
$1$ sq.unit
B
$2$ sq. units
C
$2\sqrt{2}$ sq.units
D
$4$ sq.units
3
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

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

A

$2 \sqrt{3}$

B

$3 \sqrt{3}$

C

$4 \sqrt{3}$

D

$7 \sqrt{3}$

4
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-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 …

A

$\frac{1}{32}$

B

32

C

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

D

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

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