1
JEE Main 2022 (Online) 26th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area bounded by the curves $$y=\left|x^{2}-1\right|$$ and $$y=1$$ is

A
$$\frac{2}{3}(\sqrt{2}+1)$$
B
$$\frac{4}{3}(\sqrt{2}-1)$$
C
$$2(\sqrt{2}-1)$$
D
$$\frac{8}{3}(\sqrt{2}-1)$$
2
JEE Main 2022 (Online) 26th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The odd natural number a, such that the area of the region bounded by y = 1, y = 3, x = 0, x = ya is $${{364} \over 3}$$, is equal to :

A
3
B
5
C
7
D
9
3
JEE Main 2022 (Online) 25th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area of the region given by

$$A=\left\{(x, y): x^{2} \leq y \leq \min \{x+2,4-3 x\}\right\}$$ is :

A
$$\frac{31}{8}$$
B
$$\frac{17}{6}$$
C
$$\frac{19}{6}$$
D
$$\frac{27}{8}$$
4
JEE Main 2022 (Online) 25th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let the locus of the centre $$(\alpha, \beta), \beta>0$$, of the circle which touches the circle $$x^{2}+(y-1)^{2}=1$$ externally and also touches the $$x$$-axis be $$\mathrm{L}$$. Then the area bounded by $$\mathrm{L}$$ and the line $$y=4$$ is:

A
$$ \frac{32 \sqrt{2}}{3} $$
B
$$ \frac{40 \sqrt{2}}{3} $$
C
$$\frac{64}{3}$$
D
$$ \frac{32}{3} $$
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