1
JEE Main 2022 (Online) 26th June Morning Shift
+4
-1

The area bounded by the curve y = |x2 $$-$$ 9| and the line y = 3 is :

A
$$4(2\sqrt 3 + \sqrt 6 - 4)$$
B
$$4(4\sqrt 3 + \sqrt 6 - 4)$$
C
$$8(4\sqrt 3 + 3\sqrt 6 - 9)$$
D
$$8(4\sqrt 3 + \sqrt 6 - 9)$$
2
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

The area of the region enclosed between the parabolas y2 = 2x $$-$$ 1 and y2 = 4x $$-$$ 3 is

A
$${1 \over {3}}$$
B
$${1 \over {6}}$$
C
$${2 \over {3}}$$
D
$${3 \over {4}}$$
3
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
The area, enclosed by the curves $$y = \sin x + \cos x$$ and $$y = \left| {\cos x - \sin x} \right|$$ and the lines $$x = 0,x = {\pi \over 2}$$, is :
A
$$2\sqrt 2 (\sqrt 2 - 1)$$
B
$$2(\sqrt 2 + 1)$$
C
$$4(\sqrt 2 - 1)$$
D
$$2\sqrt 2 (\sqrt 2 + 1)$$
4
JEE Main 2021 (Online) 27th August Evening Shift
+4
-1
The area of the region bounded by the parabola (y $$-$$ 2)2 = (x $$-$$ 1), the tangent to it at the point whose ordinate is 3 and the x-axis is :
A
9
B
10
C
4
D
6
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