1
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
The area (in sq. units) of the smaller portion enclosed between the curves, x2 + y2 = 4 and y2 = 3x, is :
A
$${1 \over {2\sqrt 3 }} + {\pi \over 3}$$
B
$${1 \over {\sqrt 3 }} + {{2\pi } \over 3}$$
C
$${1 \over {2\sqrt 3 }} + {{2\pi } \over 3}$$
D
$${1 \over {\sqrt 3 }} + {{4\pi } \over 3}$$
2
JEE Main 2017 (Offline)
+4
-1
The area (in sq. units) of the region

$$\left\{ {\left( {x,y} \right):x \ge 0,x + y \le 3,{x^2} \le 4y\,and\,y \le 1 + \sqrt x } \right\}$$ is
A
$${3 \over 2}$$
B
$${7 \over 3}$$
C
$${5 \over 2}$$
D
$${59 \over 12}$$
3
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
The area (in sq. units) of the region described by

A= {(x, y) $$\left| {} \right.$$y$$\ge$$ x2 $$-$$ 5x + 4, x + y $$\ge$$ 1, y $$\le$$ 0} is :
A
$${7 \over 2}$$
B
$${{19} \over 6}$$
C
$${{13} \over 6}$$
D
$${{17} \over 6}$$
4
JEE Main 2016 (Offline)
+4
-1
The area (in sq. units) of the region $$\left\{ {\left( {x,y} \right):{y^2} \ge 2x\,\,\,and\,\,\,{x^2} + {y^2} \le 4x,x \ge 0,y \ge 0} \right\}$$ is :
A
$$\pi - {{4\sqrt 2 } \over 3}$$
B
$${\pi \over 2} - {{2\sqrt 2 } \over 3}$$
C
$$\pi - {4 \over 3}$$
D
$$\pi - {8 \over 3}$$
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