1
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
$$2\sqrt 2 (\sqrt 2 + 1)$$
2
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
3
JEE Main 2021 (Online) 27th July Evening Shift
+4
-1
The area of the region bounded by y $$-$$ x = 2 and x2 = y is equal to :
A
$${{16} \over 3}$$
B
$${{2} \over 3}$$
C
$${{9} \over 2}$$
D
$${{4} \over 3}$$
4
JEE Main 2021 (Online) 27th July Morning Shift
+4
-1
If the area of the bounded region
$$R = \left\{ {(x,y):\max \{ 0,{{\log }_e}x\} \le y \le {2^x},{1 \over 2} \le x \le 2} \right\}$$ is ,
$$\alpha {({\log _e}2)^{ - 1}} + \beta ({\log _e}2) + \gamma$$, then the value of $${(\alpha + \beta - 2\lambda )^2}$$ is equal to :
A
8
B
2
C
4
D
1
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