NDA/NA SOLVED PAPER 2016-II (MATHEMATICS)

Total Questions: 120

41. sin A + 2sin 2A + sin 3A is equal to which of the following?

Correct Answer: (c) 1 and 3 only
Solution:


42. If x = sin 70⁰ . sin 50⁰ and y = cos 60⁰ . cos80⁰ , then what is xy equal to ?

Correct Answer: (a) 1/16
Solution:

43. If sin θ₁ +sin θ₂ +sin θ₃ +sin θ₄ = 4, then what is the value of cos θ₁ + cos θ₂ + cos θ₃ +cos θ₄ =?

Correct Answer: (a) 0
Solution:

44. What is the value of

Correct Answer: (d)
Solution:


45. If x cosθ + y sinθ = z, then what is the value of (x sinθ - y cosθ)² ?

Correct Answer: (a) x² + y² - z²
Solution:

46. What is the value of cos( 2cos⁻¹(0.8) ?

Correct Answer: (d) 0.28
Solution:

47. The top of a hill when observed from the top and bottom of a building of height h is at angles of elevation p and q respectively. What is the height of the hill?

Correct Answer: (b)
Solution:


48. Solve the following equation

Correct Answer: (a)
Solution:

49. A moving boat is observed from the top of a cliff of 150 m height. The angle of depression of the boat changes from 60° to 45° in 2 minutes. What is the speed of the boat in metres per hour?

Correct Answer: (b)
Solution:

50. Solve the following equation

Correct Answer: (b) - √3
Solution: