1
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The area of the smaller region bounded by the circle $x^2 + y^2 = 4$ and the line $x = 1$ is...
A
$\dfrac{4\pi}{3} - \sqrt{3}$
B
$\dfrac{\pi}{3} - \sqrt{3}$
C
$\dfrac{4\pi}{3} + \sqrt{3}$
D
$\dfrac{\pi}{3} + \sqrt{3}$
2
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If the area bounded by the curve $x^2 = by$ and the lines $y = 1, y = 4$ in the first quadrant is $28$ sq. units, then the value of b is...
A
$36$
B
$6$
C
$9$
D
$3$
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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