1
JEE Main 2020 (Online) 7th January Morning Slot
+4
-1
The area of the region, enclosed by the circle x2 + y2 = 2 which is not common to the region bounded by the parabola y2 = x and the straight line y = x, is:
A
$${1 \over 6}\left( {24\pi - 1} \right)$$
B
$${1 \over 3}\left( {12\pi - 1} \right)$$
C
$${1 \over 3}\left( {6\pi - 1} \right)$$
D
$${1 \over 6}\left( {12\pi - 1} \right)$$
2
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
If the area (in sq. units) bounded by the parabola y2 = 4$$\lambda$$x and the line y = $$\lambda$$x, $$\lambda$$ > 0, is $${1 \over 9}$$ , then $$\lambda$$ is equal to :
A
$$4\sqrt 3$$
B
2$$\sqrt 6$$
C
48
D
24
3
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
If the area (in sq. units) of the region {(x, y) : y2 $$\le$$ 4x, x + y $$\le$$ 1, x $$\ge$$ 0, y $$\ge$$ 0} is a $$\sqrt 2$$ + b, then a – b is equal to :
A
$${8 \over 3}$$
B
$$- {2 \over 3}$$
C
6
D
$${{10} \over 3}$$
4
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
The area (in sq.units) of the region bounded by the curves y = 2x and y = |x + 1|, in the first quadrant is :
A
$${1 \over 2}$$
B
$${3 \over 2}$$
C
$${3 \over 2} - {1 \over {\log _e^2}}$$
D
$$\log _e^2 + {3 \over 2}$$
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