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Chapter: 12th Maths : UNIT 9 : Applications of Integration

Exercise 9.10: Choose the correct answer

Choose the correct or the most suitable answer from the given four alternatives :

EXERCISE 9.10

 

Choose the correct or the most suitable answer from the given four alternatives :

 

1. The value of  is

(1) π/6

(2) π/2

(3) π/4

(4) π


 

2. The value of  is

(1) 1/2

(2) 3/2

(3) 5/2

(4) 7/2


 

3. For any value of n  π0 ecos2 x cos3 [ (2n +1)xdx is

(1) π/2

(2) π

(3) 0

(4) 2


 

4. The value of sin2cos x dx is

 (1) 3/2

(2) 1/2

(3) 0

(4) 2/3


 

5. The value of  is

 (1) π

(2) 2π

(3) 3π

(4) 4π


 

6. The value  is

(1) 4

(2) 3

(3) 2

(3) 0


 

7. If  

 f (x) = x0 t cos t dt , then df/ dx =

(1) cos x  x sin x

(2) sin x + x cos x

(3) x cos x

(4) x sin x


 

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

(1) 2/3

(2) 4/3

(3) 8/3

(4) 5/3


 

9. The value of  is

(1) 1/11000

(2) 1/10100

(3) 1/10010

(4) 1/10001


 

10. The value of  is

(1) π/2

(2) π

(3) 3π / 2

(4) 2π


 

11. If  = 90 then n is

(1) 10

(2) 5

(3) 8

(4) 9


 

12. The value of π/60 cos33x dx is

(1) 2/3

(2) 2/9

(3) 1/9

(3) 1/3


 

13. The value of π0 sin4x dx is

(1) 3π  / 10

(2) 3π / 8

(3) 3π / 4

(4) 3π / 2


 

14. The value of 0 e−3x x2dx is

(1) 7/27

(2) 5/27

(3) 4/27

(4) 2/27


 

15. If  then a is

(1) 4

(2) 1

(3) 3

(4) 2


 

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

(1) πa3

(2) πa3 / 4

(3) πa3  / 5

(4) πa3 / 6


 

17. If f (x) = , x > 1 and , then one of the possible value of a is

(1) 3

(2) 6

(3) 9

(4) 5


 

18. The value of 10 (sin−1 x )2 dx is


Answers: (4)


 

19. The value of  is


Answers: (2)


 

20. If x0 f (t) dt = x 1x tf (t) dt , then the value of f (1) is

(1) 1/2

(2) 2

(3) 1

(4) 3/4 



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