1
JEE Main 2014 (Offline)
+4
-1
The area of the region described by
$$A = \left\{ {\left( {x,y} \right):{x^2} + {y^2} \le 1} \right.$$ and $$\left. {{y^2} \le 1 - x} \right\}$$ is :
A
$${\pi \over 2} - {2 \over 3}$$
B
$${\pi \over 2} + {2 \over 3}$$
C
$${\pi \over 2} + {4 \over 3}$$
D
$${\pi \over 2} - {4 \over 3}$$
2
JEE Main 2013 (Offline)
+4
-1
The area (in square units) bounded by the curves $$y = \sqrt {x,}$$ $$2y - x + 3 = 0,$$ $$x$$-axis, and lying in the first quadrant is :
A
$$9$$
B
$$36$$
C
$$18$$
D
$${{27} \over 4}$$
3
AIEEE 2012
+4
-1
The area between the parabolas $${x^2} = {y \over 4}$$ and $${x^2} = 9y$$ and the straight line $$y=2$$ is :
A
$$20\sqrt 2$$
B
$${{10\sqrt 2 } \over 3}$$
C
$${{20\sqrt 2 } \over 3}$$
D
$$10\sqrt 2$$
4
AIEEE 2011
+4
-1
The area of the region enclosed by the curves $$y = x,x = e,y = {1 \over x}$$ and the positive $$x$$-axis is :
A
$$1$$ square unit
B
$${3 \over 2}$$ square units
C
$${5 \over 2}$$ square units
D
$${1 \over 2}$$ square unit
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