### NDA NA 2010 (2) maths answer key

NDA NA 2010 (2) maths answer key for the exam which was conducted on 22-8-2010. This paper was submitted by Aman Malik.

1. what is the interval over which the function f(x)= 6x-x2, x>0 is increasing

Answer: a. (0,3)

2. a. 2e ratio power √x (x-2√x+2) + c

3. What is the degree of the differential equation

Answer: b. 2

4. What is the general solution of...

Answer: a.

5. What is the value of...

Answer: b. ln√3

6. if f and g are increasing functions such that f 0 g is defined...

Answer: b. f and g are decreasing function

7. What is the value of

Answer: a. e(e/2-1)

8. Which one of the following is the differential equation to family of circles having centre at the origin

Answer: d. x dx+ydy= 0

9. b. 3/2 square unit.

10. a. Family of straight lines through the origin.

11. a. 189/8

12. c. -1

13. Consider the following statements:

1. f (x) = /x-3\ is continuous at x=0

2. f (x) = /x-3\ is differentiable at x=0

Answer: c. both a and 2

14. c. (1102)2

15. d. sin θ-cosθ+1/sin θ+cosθ-1

16. One of the angles of a triangle is 1/2 radian and the other is 99 degree. what is the third angle in a radian measure

Answer: d. None of the above

17. Two poles are 10 m and 20 m high. ....

Answer: b. 37.3 m.

18. what is the value of sin power -1 4/5 + 2 tan power -1 1/3?

Answer: b. π/2

19. a. sec 18 °

20. if α and β are positive angles such that α + β = π/4 then what is ...

Answer: c. 2

21. what is the value of sin 50°- sin 70 °+ sin 10 °

Answer: d. 0

22. b. 2mn/m square + n square

23. c. y≥2

24. if tan A = 3/4 and tan B= -12/5....

Answer: b. 2

25. what is the value of sin 15° sin 75°

Answer: a. 1/4

26. What is the equation to the straight line joining the origin to the point of intersection of the lines.

Answer: C. x-y= 0

27. B. x square + y square - 4x+4y+4=0

28. b. i+j-k

29. c. 1/2

30. B. c is the geometric mean of a and b.

31. A. reflexive, transitive but not symmetric

32. C. 1.

33. C. 17280

34. A. 16,4

35. d. 7/25- i 24/25

36. D. 16.

37. C. 1

38. D. AB= BA

39. D. 3 power 27

40. B. -1

41. B. b square= a+c

42. What is the maximum no. of straight lines that can be drawn with any four points in a plane such that each line contains at least two of these points?

Answer: C. 6

43. D. 3i

44. c. 64

45. D. 100000.01

46. C. 444 m

47. B. 1

48. D. -1/2 √√2+√2

49. A. sec power n x/n +c

50. d. 128/3

51. D. (n+1) (n+2)/2

52. C. 720.

53. B. 35.

54. D. neither x nor y

55. B. 3/7

56. B. 1/25

57. B. 2.57

58. A. α

59. B. 4.

60. A. the integers are any set of eight consecutive integers.

61. D. B-A= B∩A

62. C. Both 1 and 2.

63. b. -16

64. d. 2 power 48

65. D. -(3A power 2 +2A+5I)

66. A. 2 power n

67. B. The complement of (

*A*∪*B*) is an infinite set.68. D. 2+-i√2

69. D. -8

70. D. None of the above

71. B. 512 sq. cm

72. C. Either |A|= 0 or |B|=0

73. d. 9 or 3.

74. C. Null matrix

75. A. sin 1° is greater than sin 1

76. D. no points in common.

77.C. Hyperbola

78. A. 1.

79. A. 1

80. A. i+j

81. C. 2 BC

82. C. h=0, a=b

83. A. √165/2

84. D. 1.

85. C. √3/2

86. A. 2

87. D. 4/3

88. C. ABC is right-angled triangle

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