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

Total Questions: 50

41. The points (a, b), (0, 0), (-a, -b) and (ab, b²) are:

Correct Answer: (d) collinear
Solution:

42. The length of the normal from origin to the plane x + 2y - 2z = 9 is equal to?

Correct Answer: (b) 3 units
Solution:

43. Simplify the question?

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

44. The angle between the lines x + y − 3 = 0 and x − y + 3 = 0 is α and the acute angle between the lines x − √3 y + 2√3 = 0 and √3 x − y + 1 = 0 is β. Which one of the following is correct?

Correct Answer: (b) α > β
Solution:

45. Simplify the question?

Correct Answer: (b) 2 √3 units
Solution:

46. Simplify the question?

Correct Answer: (a)
Solution:

47. Simplify the question?

Correct Answer: (c) 9 units
Solution:

48. Simplify the equation?

Correct Answer: (b)
Solution:

49. A man running round a racecourse notes that the sum of the distances of two flag-posts from him is always 10 m and the distance between the flag-posts is 8 m. The area of the path he encloses is:

Correct Answer: (b) 15π square metres
Solution:

50. The distance of the point (1, 3) from the line 2x + 3y = 6, measured parallel to the line 4x + y = 4, is:

Correct Answer: (d) √17/2 units
Solution: