1
AIEEE 2011
MCQ (Single Correct Answer)
+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
2
AIEEE 2010
MCQ (Single Correct Answer)
+4
-1
The area bounded by the curves $$y = \cos x$$ and $$y = \sin x$$ between the ordinates $$x=0$$ and $$x = {{3\pi } \over 2}$$ is
A
$$4\sqrt 2 + 2$$
B
$$4\sqrt 2 - 1$$
C
$$4\sqrt 2 + 1$$
D
$$4\sqrt 2 - 2$$
3
AIEEE 2009
MCQ (Single Correct Answer)
+4
-1
The area of the region bounded by the parabola $${\left( {y - 2} \right)^2} = x - 1,$$ the tangent of the parabola at the point $$(2, 3)$$ and the $$x$$-axis is :
A
$$6$$
B
$$9$$
C
$$12$$
D
$$3$$
4
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
The area of the plane region bounded by the curves $$x + 2{y^2} = 0$$ and $$\,x + 3{y^2} = 1$$ is equal to :
A
$${5 \over 3}$$
B
$${1 \over 3}$$
C
$${2 \over 3}$$
D
$${4 \over 3}$$
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