1
JEE Main 2021 (Online) 24th February Morning Shift
+4
-1
The area (in sq. units) of the part of the circle x2 + y2 = 36, which is outside the parabola y2 = 9x, is :
A
$$12\pi - 3\sqrt 3$$
B
$$24\pi + 3\sqrt 3$$
C
$$24\pi - 3\sqrt 3$$
D
$$12\pi + 3\sqrt 3$$
2
JEE Main 2020 (Online) 6th September Evening Slot
+4
-1
The area (in sq. units) of the region enclosed
by the curves y = x2 – 1 and y = 1 – x2 is equal to :
A
$${8 \over 3}$$
B
$${4 \over 3}$$
C
$${7 \over 2}$$
D
$${{16} \over 3}$$
3
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
The area (in sq. units) of the region
A = {(x, y) : |x| + |y| $$\le$$ 1, 2y2 $$\ge$$ |x|}
A
$${1 \over 6}$$
B
$${5 \over 6}$$
C
$${1 \over 3}$$
D
$${7 \over 6}$$
4
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
The area (in sq. units) of the region

A = {(x, y) : (x – 1)[x] $$\le$$ y $$\le$$ 2$$\sqrt x$$, 0 $$\le$$ x $$\le$$ 2}, where [t]

denotes the greatest integer function, is :
A
$${8 \over 3}\sqrt 2 - 1$$
B
$${4 \over 3}\sqrt 2 + 1$$
C
$${8 \over 3}\sqrt 2 - {1 \over 2}$$
D
$${4 \over 3}\sqrt 2 - {1 \over 2}$$
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