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Application of Integrals
- Online Test
Application of Integrals
TEST : 4
# Application of Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q1.
The area bounded by the curves
y
2
=
4
x
a
n
d
y
=
x
is equal to
A.
8/3
B.
1/3
C.
None of these
D.
35/6
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Application of Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q2.
The area included between the curves
x
−
−
√
+
|
y
|
−
−
√
=
1
a
n
d
|
x
|
+
|
y
|
=
1
is equal to
A.
2/3
B.
1/6
C.
None of these
D.
4/3
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Application of Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q3.
The area of the figure bounded by y =
e
x
,
y
=
e
−
x
and the straight line x = 1 is
A.
none of these.
B.
e + 2/e
C.
e – 1/e
D.
e + 1/e - 2
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Application of Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q4.
The positive value of the parameter a for which the area of the figure bounded by y = sin ax , y = 0 , x =
π
a
a
n
d
x
=
π
3
a
is 3 is equal to
A.
2
+
3
√
3
B.
1/2
C.
None of these
D.
2
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Application of Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q5.
The area bounded by the parabola
y
2
=
4
x
and the line x + y = 3 is
A.
16/3
B.
64/3
C.
32/3
D.
none of these.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Application of Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q6.
The area bounded by the curve
y
=
x
2
+
1
and the line x + y = 3 is
A.
35/3
B.
9/2
C.
32/3
D.
16/3
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Application of Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q7.
The area of the region bounded by y =
|
x
−
1
|
and y = 1 is
A.
1
B.
2
C.
None of these
D.
1/2
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
∣
∣
∣
∫
0
1
[
(
x
−
1
)
−
(
1
−
x
)
]
d
x
∣
∣
∣
=
1
# Application of Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q8.
The area of bounded by the curve
x
−
−
√
+
y
√
=
1
and the coordinate axes is
A.
1/2
B.
1/6
C.
None of these
D.
1
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Application of Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q9.
The area bounded by the curves
x
2
=
4
y
a
n
d
x
=
4
y
−
2
is
A.
9/4 sq.unit
B.
9/2 sq.units
C.
9/8 sq.units
D.
9 sq.units
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Application of Integrals
# CBSE 12th Mathematics
Prepare / Learn
Q10.
For which of the following values of m , is the area of the region bounded by the curve y = x -
x
2
and the line y = mx equal to
9
2
?
A.
-2
B.
none of these
C.
2
D.
-4
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
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