1
JEE Main 2025 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let the area of the region

$ (x, y) : 2y \leq x^2 + 3,\ y + |x| \leq 3, \ y \geq |x - 1| $ be $ A $. Then $ 6A $ is equal to :

A

14

B

18

C

16

D

12

2
JEE Main 2025 (Online) 28th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area of the region bounded by the curves $x(1+y^2)=1$ and $y^2=2x$ is:

A

$\frac{\pi}{4} - \frac{1}{3}$

B

$\frac{\pi}{2} - \frac{1}{3}$

C

$2\left(\frac{\pi}{2} - \frac{1}{3}\right)$

D

$\frac{1}{2}\left(\frac{\pi}{2} - \frac{1}{3}\right)$

3
JEE Main 2025 (Online) 28th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area (in sq. units) of the region $\left\{(x, \mathrm{y}): 0 \leq \mathrm{y} \leq 2|x|+1,0 \leq \mathrm{y} \leq x^2+1,|x| \leq 3\right\}$ is

A
$\frac{32}{3}$
B
$\frac{64}{3}$
C
$\frac{17}{3}$
D
$\frac{80}{3}$
4
JEE Main 2025 (Online) 24th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area of the region enclosed by the curves $y=\mathrm{e}^x, y=\left|\mathrm{e}^x-1\right|$ and $y$-axis is :

A
$1+\log _{\mathrm{e}} 2$
B
$\log _{\mathrm{e}} 2$
C
$1-\log _{\mathrm{e}} 2$
D
$2 \log _{\mathrm{e}} 2-1$
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