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JEE Questions for Maths Applications Of Integrals Quiz 2 - MCQExams.com
JEE
Maths
Applications Of Integrals
Quiz 2
The parabola y
2
= 4
x
and
x
2
= 4y divided the square region bounded by the lines
x
= 4y, y = 4 and the coordinate axes. If S
1
, S
2
, S
3
are respectively the areas of these parts numbered from top to bottom, then S
1
: S
2
: S
3
is equal to
Report Question
0%
1 : 1 : 1
0%
2 : 1 : 2
0%
1 : 2 : 3
0%
1 : 2 : 1
If
f
(
x
) is a non - negative continuous function such that the area bounded by the curve
y
=
f
(
x
), X - axis and the cordinates
Report Question
0%
0%
2)
0%
0%
Area bounded by the curve y
2
= 16
x
and line y = m
x
is 2/3, then m is equal to
Report Question
0%
3
0%
4
0%
1
0%
2
Area bounded by the curve y = log
e
x
,
x
= 0, y ≤ 0 and X – axis is
Report Question
0%
1 sq units
0%
1/2 sq unit
0%
2 sq units
0%
None of these
The area enclosed within the curve |
x
| + |y| = 1 is
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0%
1 sq unit
0%
2√2 sq units
0%
√2 sq units
0%
2 sq units
Area bounded by the curves y =
x
2
and y = 2-
x
2
is
Report Question
0%
8/3 sq units
0%
3/8 sq unit
0%
3/2 sq units
0%
None of these
The area of the region bounded by the curve 9
x
2
+ 4y
2
- 36 = 0 is
Report Question
0%
9π sq units
0%
4π sq units
0%
36π sq units
0%
6π sq units
The area (in sq units) bounded by the curves y
2
= 4
x
and
x
2
= 4y in the plane is
Report Question
0%
8/3
0%
16/3
0%
32/3
0%
64/3
The area cut off by the latusrectum from the parabola y
2
= 4a
x
is
Report Question
0%
(8/a sq units
0%
(8/√a sq units
0%
(3/a2 sq unit
0%
(8/a2 sq unit
Report Question
0%
1 : 1
0%
2 : 1
0%
1 : 2
0%
None of these
The volume of the solid generated by revolving the figure bounded by the parabola y =
x
2
and
x
= y
2
the Y - axis
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0%
(21/π
0%
(24/π
0%
3π/10
0%
(5/π
The length of the parabola y
2
= 12
x
cut off by the latusrectum is
Report Question
0%
0%
2)
0%
0%
The volume of the solid generated by revolving the region bounded by y =
x
2
+ 1 and y = 2
x
+ 1 about X - axis is
Report Question
0%
104π/15 cu units
0%
42π/15 cu units
0%
52π/15 cu units
0%
None of these
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0%
0%
2)
0%
0%
The area of the region described by A = {(
x
,y) :
x
2
+ y
2
≤ 1 and y
2
≤ 1 -
x
} is
Report Question
0%
0%
2)
0%
0%
The area bounded by the curves y = -√-
x
and
x
= - √-y, where
x
, y ≤ 0, is
Report Question
0%
1/3
0%
1/4
0%
1/5
0%
1/2
The area in the first quadrant between
x
2
+ y
2
= π
2
and y = sin
x
is
Report Question
0%
0%
2)
0%
0%
The area bounded y =
x
e
|
x
|
and line |
x
| = 1, y = 0 is
Report Question
0%
4 sq units
0%
6 sq units
0%
1 sq units
0%
2 sq units
The area bounded by y =
x
|sin
x
| and X - axis between
x
= 0,
x
= 2π is
Report Question
0%
2 π sq units
0%
3 π sq units
0%
π sq units
0%
4π sq units
Area (in sq units ) bounded by the curves y = e
x
, y = e
-
x
and the straight line
x
= 1 is
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0%
0%
2)
0%
0%
0%
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