1
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
2
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
$${{4} \over 3}$$
3
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
4
JEE Main 2021 (Online) 25th July Morning Shift
+4
-1
The area (in sq. units) of the region, given by the set $$\{ (x,y) \in R \times R|x \ge 0,2{x^2} \le y \le 4 - 2x\}$$ is :
A
$${8 \over 3}$$
B
$${{17} \over 3}$$
C
$${{13} \over 3}$$
D
$${7 \over 3}$$
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