1
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area (in sq. units) of the region $\left\{(x, y) / x \geq 0, x+y \leq 3, x^2 \leq 4 y\right.$ and $\left.y \leq 1+\sqrt{x}\right\}$ is

A
$\frac{9}{2}$
B
$\frac{3}{2}$
C
$\frac{7}{2}$
D
$\frac{5}{2}$
2
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Area (in sq.units) lying in the first quadrant and bounded by the circle $x^2+y^2=4$ and the lines $x=0$ and $x=2$ is

A
$\pi$
B
$\frac{\pi}{2}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{4}$
3
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area (in sq. units), in the first quadrant bounded by the curve $y=x^2+2$ and the lines $y=x+1, x=0$ and $x=2$, is

A
$\frac{1}{3}$
B
$\frac{2}{3}$
C
$\frac{5}{3}$
D
$\frac{8}{3}$
4
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The area (in sq. units) bounded by the curves $y=(x+1)^2, y=(x-1)^2$ and the line $y=\frac{1}{4}$ is

A
$\frac{2}{3}$
B
$\frac{1}{6}$
C
$\frac{1}{3}$
D
$\frac{1}{4}$
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