Mathematics NDA/NA SOLVED PAPER 2019 (II) (01 to 50)

Total Questions: 50

41. Simplify the question?

Correct Answer: (b) 10
Solution:

42. Consider the following statements:

1. cos θ + sec θ can never be equal to 1.5.
2. tan θ + cot θ can never be less than 2.
Which of the above statements is/are correct?

Correct Answer: (b) Only 2
Solution:

43. A ladder 9m long reaches a point 9m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the flagstaff is 60°. What is the height of the flagstaff?

Correct Answer: (c) 13 5. m
Solution:

44. What is the length of the chord of a unit circle which subtends an angle θ at the centre?

Correct Answer: (c)
Solution:

45. Find the answer of given equation?

Correct Answer: (b) 3/4
Solution:

46. Find the answer of given question?

Correct Answer: (b) 19/9
Solution:

47. If the magnitude of the sum of two non-zero vectors is equal to the magnitude of their difference, then which one of the following is correct?

Correct Answer: (b) The vectors are perpendicular
Solution:

48. Consider the following equations for two vectors a and b.?

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

49. Consider the following statements:

1. The magnitude of a × b  is same as the area of a triangle with sides a and b
2. If a × b = 0, where a ≠ b = 0, b ≠ 0, then a = λ b.
Which of the above statements is/are correct?

Correct Answer: (b) Only 2
Solution:

50. If a and b are unit vectors and θ is the angle between them, then what is sin²(θ/2) equal to?

Correct Answer: (b)
Solution: