Mathematics NDA/NA SOLVED PAPER 2017 (II) (01 to 50)

Total Questions: 50

31. The angle of elevation of a stationary cloud from a point 25 m above a lake is 15° and the angle of depression of its image in the lake is 45°. The height of the cloud above the lake level is:

Correct Answer: (b) 25 √3 m
Solution:

32. The value of tan 9° - tan 27° - tan 63° + tan 81° is equal to?

Correct Answer: (d) 4
Solution:

33. The value of √3 cosec 20° - sec 20° is equal to?

Correct Answer: (a) 4
Solution:

34. Angle α is divided into two parts A and B such that A − B = x and tan A : tan B = p : q. The value of sin x is equal to:

Correct Answer: (d)
Solution:

35. Find the answer of given question?

Correct Answer: (b) π/4
Solution:

36. The angles of elevation of the top of a tower from the top and foot of a pole are respectively 30° and 45°. If hₜ is the height of the tower and hₚ is the height of the pole, then which of the following are correct?

Correct Answer: (c) 1 and 2 only
Solution:

Let the distance between tower and pole be 'x'.

37. In a triangle ABC, a - 2b + c = 0. The value of cot (A/2) cot (C/2) is:

Correct Answer: (b) 3
Solution:

38. Find the answer of given equation?

Correct Answer: (a)
Solution:

39. Solve the following equation?

Correct Answer: (a) right-angled
Solution:

40. The principal value ofsin⁻¹x lies in the interval :

Correct Answer: (b)
Solution: