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JEE Questions for Maths Applications Of Integrals Quiz 4 - MCQExams.com
JEE
Maths
Applications Of Integrals
Quiz 4
The area of the region bounded by curves y =
x
log
x
and y = 2
x
- 2
x
2
is
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0%
1/2 sq units
0%
3/12 sq units
0%
7/12 sq units
0%
None of these
If
f
(
x
) is continuous function such that the area bounded by the curve y =
f
(
x
), the X - axis and the lines
x
= a and
x
= 0 is
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0%
1/2
0%
a/2
0%
a2/2
0%
π/2
The line
x
= π/4 divides the area of the region bounded by y = sin
x
, y = cos
x
and X - axis (0 ≤
x
≤ π/into two regions of areas A
1
and A
2
. Then, A
1
: A
2
equals to
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0%
4 : 1
0%
3 : 1
0%
2 : 1
0%
1 : 1
The area bounded by the curve y =
x
|
x
|, X - axis and the ordinates
x
= 1,
x
= -1 is given by
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0%
0
0%
1/3
0%
2/3
0%
None of these
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0%
0%
2)
0%
0%
The area of the plane region bounded by the curves
x
+ 2y
2
= 0 and
x
+ 3y
2
= 1 is equal to
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0%
4/3 sq units
0%
5/3 sq units
0%
1/3 sq units
0%
2/3 sq units
The area ( in sq units ) of the region bounded by the curves 2
x
= y
2
- 1 and
x
= 0 is
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0%
1/3 sq units
0%
2/3 sq units
0%
1 sq units
0%
2 sq units
The area bounded by the curve y = 1/2
x
2
, the X-axis and the ordinate
x
= 2 is
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0%
1/3 sq units
0%
2/3 sq units
0%
1 sq units
0%
4/3 sq units
The area of the region bounded by y = 2
x
-
x
2
and the X - axis is
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0%
8/3 sq units
0%
4/3 sq units
0%
7/3 sq units
0%
2/3 sq units
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0%
0%
2)
0%
0%
0%
None of these
The area enclosed between the curve y = 1 +
x
2
, the Y - axis and the straight line y = 5 is given by
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0%
14/3 sq units
0%
7/3 sq units
0%
5 sq units
0%
16/3 sq units
The area bounded by the curves y
2
= 4a
2
(
x
-and lines
x
= 1 and y = 4a is
Report Question
0%
4a2 sq units
0%
16a/3 sq units
0%
16a/3 sq units
0%
None of these
The area bounded by the curve y
2
(2a -
x
) =
x
3
and the line
x
= 2a is
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0%
3πa2 sq units
0%
3πa2/2 sq units
0%
3πa2/4 sq units
0%
6πa2/5 sq units
The area (in sq units) bounded by the curves 4y =
x
2
and 2y = 6 -
x
2
is
Report Question
0%
8
0%
6
0%
4
0%
10
The area of the region bounded by the straight lines
x
= 0 and
x
= 2 and the curves y = 2
x
and y = 2
x
-
x
2
is equal to
Report Question
0%
0%
2)
0%
0%
The area of the region bounded by the curves y = |
x
- 2|,
x
= 1,
x
= 3 and the X - axis is
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0%
1
0%
2
0%
3
0%
4
The area bounded by the parabola y
2
= 8
x
and its latusrectum is
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0%
16/3 sq units
0%
32/3 sq units
0%
8/3 sq units
0%
64/3 sq units
0%
4/3 sq units
The area of the smaller segment cut off from the circle
x
2
+ y
2
= 9 by
x
= 1 is
Report Question
0%
0%
2)
0%
0%
None of these
Area bounded by y
2
=
x
y = 0,
x
= 1,
x
= 4 is
Report Question
0%
0%
2)
0%
0%
The area (in sq unit) of the region enclosed by the curves y =
x
2
and y =
x
3
is
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0%
1/12
0%
1/6
0%
1/3
0%
1
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