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JEE Questions for Maths Applications Of Integrals Quiz 1 - MCQExams.com
JEE
Maths
Applications Of Integrals
Quiz 1
The area enclosed by the curves |y +
x
| ≤ 1, |y -
x
|≤ 1 and 2
x
2
+ 2y
2
= 1 is
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0%
0%
2)
0%
0%
The area of the region bounded by 1 - y
2
= |
x
| and |
x
| + |y|= 1 is
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0%
1/3 sq units
0%
2/3 sq units
0%
4/3 sq units
0%
1 sq units
The area of the region bounded by the lines y = m
x
,
x
= 1,
x
= 2 and X - axis is 6 sq units, then m is equal to
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0%
3
0%
1
0%
2
0%
4
Area of the region bounded by two parabolas y =
x
2
and
x
= y
2
is
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0%
1/4
0%
1/3
0%
4
0%
3
The area bounded by the curves y =
x
and y =
x
3
is equal to
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0%
0
0%
1/4
0%
1/2
0%
1
The area of the region enclosed by the curves y =
x
,
x
= e, y = 1/
x
and the positive X - axis is
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0%
1 sq units
0%
3/2 sq units
0%
5/2 sq units
0%
1/2 sq units
If the area between y = m
x
2
and
x
= my
2
(m >is 1/4 sq units, then the value of m is
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0%
± 3√2
0%
± 2/√3
0%
√2
0%
√3
The area enclosed between y
2
=
x
and y =
x
is
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0%
2/3 sq units
0%
1/2 sq units
0%
1/3 sq units
0%
1/6 sq units
The area bounded by the curves y = cos
x
and y = sin
x
between the ordinates
x
= 0 and
x
= 3π/2 is
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0%
(4√2 - 2)sq units
0%
(4√2 + 2)sq units
0%
(4√2 -1)sq units
0%
(4√2 + 1)sq units
The area (in sq units) of the plane region bounded by the curve
x
= y
2
and the line y = -
x
is
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0%
13/3
0%
2/5
0%
9/2
0%
5/2
0%
13/2
The area of the region bounded by the parabola (y - 2)
2
=
x
- 1, the tangent to the parabola at the point (2,and the X - axis is
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0%
6 sq units
0%
9 sq units
0%
12 sq units
0%
3 sq units
The area bounded between the parabola y
2
= 4
x
and the line y = 2
x
- 4 is equal to
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0%
17/3 sq units
0%
19/3 sq units
0%
9 sq units
0%
15 sq units
The area of the region bounded by the curves y = e
x
, y = log
e
x
and lines
x
= 1,
x
= 2 is
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0%
(e - 1)2
0%
e2 - e + 1
0%
e2 - e + 1 - 2 loge 2
0%
e2 + e - 2 loge 2
Area enclosed by the curve π[4(
x
- √2)
2
+ y
2
] = 8 is
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0%
π sq units
0%
2 sq units
0%
3π sq units
0%
4 sq units
The area bounded by the curve
x
= 4 - y
2
and the Y - axis is
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0%
16 sq units
0%
32 sq units
0%
32/3 sq units
0%
16/3 sq units
Area bounded by the lines y =
x
,
x
= -1,
x
= 2 and X - axis is
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0%
5/2 sq units
0%
3/2 sq units
0%
1/7 sq units
0%
None of the above
The area bounded by the curves y
2
= 8
x
and
x
2
= 8y is
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0%
64 sq units
0%
64/3 sq units
0%
8/3 sq units
0%
None of these
The area bounded by the curve y = 2
x
-
x
2
and the line y = -
x
is
Report Question
0%
3/2 sq units
0%
9/3 sq units
0%
9/2 sq units
0%
None of these
The area (in sq units) enclosed between the parabola y =
x
2
-
x
+ 2 and the line y =
x
+ 2 equals
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0%
8/3
0%
1/3
0%
2/3
0%
4/3
Area of the region satisfying
x
≤ 2, y ≤ |
x
| and
x
≥ 0 is
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0%
4 sq units
0%
1 sq units
0%
2 sq units
0%
None of these
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