#### 12th Standard Maths Applications of Integration English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021

12th Standard

Reg.No. :
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Maths

Time : 00:10:00 Hrs
Total Marks : 10

10 x 1 = 10
1. The area between y2 = 4x and its latus rectum is

(a)

$\frac{2}{3}$

(b)

$\frac{4}{3}$

(c)

$\frac{8}{3}$

(d)

$\frac{5}{3}$

2. The value of $\int _{ 0 }^{ \pi }{ \frac { dx }{ 1+{ 5 }^{ cos\ x } } }$ is

(a)

$\frac{\pi}{2}$

(b)

$\pi$

(c)

$\frac{3\pi}{2}$

(d)

$2\pi$

3. The volume of solid of revolution of the region bounded by y2 = x(a − x) about x-axis is

(a)

$\pi a^2$

(b)

$\frac { \pi { a }^{ 2 } }{ 4 }$

(c)

$\frac { \pi { a }^{ 2 } }{ 5 }$

(d)

$\frac { \pi { a }^{ 2 } }{ 6 }$

4. The value of $\int _{ -1 }^{ 2 }{ |x|dx }$

(a)

$\frac{1}{2}$

(b)

$\frac{3}{2}$

(c)

$\frac{5}{2}$

(d)

$\frac{7}{2}$

5. The value of $\int _{ -\frac { \pi }{ 2 } }^{ \frac { \pi }{ 2 } }{ { sin }^{ 2 }xcosxdx }$ is

(a)

$\frac{3}{2}$

(b)

$\frac{1}{2}$

(c)

0

(d)

$\frac{2}{3}$

6. The value of $\int _{ \frac { \pi }{ 2 } }^{ \frac { \pi }{ 2 } }{ \sqrt { \frac { 1-cos2x }{ 2x } } }$ dx is

(a)

$\frac { 1 }{ 2 }$

(b)

2

(c)

0

(d)

1

7. If $\int _{ 0 }^{ 2a }{ f(x) } dx=2\int _{ 0 }^{ a }{ f(x) }$ then

(a)

f(2a -x) = - f(x)

(b)

f(2a - x) = f(x)

(c)

f(x) is odd

(d)

f(x) is even

8. The area enclosed by the curve y = $\frac { { x }^{ 2 } }{ 2 }$ , the x - axis and the lines x = 1, x = 3 is

(a)

4

(b)

8$\frac23$

(c)

13

(d)

4$\frac{1}{3}$

9. $\int _{ 0 }^{ \frac { \pi }{ 4 } }{ { cos }^{ 3 }2x \ dx= }$

(a)

$\frac { 2 }{ 3 }$

(b)

$\frac { 1 }{ 3 }$

(c)

0

(d)

$\frac { 2\pi }{ 3 }$

10. The volume when  $y=\sqrt { 3+{ x }^{ 2 } }$ from x = 0 to x = 4 is rotated about x-axis is .................

(a)

$100\pi$

(b)

$\frac { 100\pi }{ 9 }$

(c)

$\frac { 100\pi }{ 3 }$

(d)

$\frac { 100 }{ 3 }$