(Mathematics) NDA/NA SOLVED PAPER 2023 – II (51 to 100)

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Total Questions: 50

41. Find length?

Correct Answer: (b) 2/√17
Solution:

42. Find value?

Correct Answer: (a) 3
Solution:

43. Find value?

Correct Answer: (c)
Solution:

44. Find vectors?

Correct Answer: (c) β = -40
Solution:

45. Find vectors?

Correct Answer: (b) 2 only
Solution:

46. If L is the line with DIRECTIONS ratios and passing through (1, -1, 1), then what are the coordinates of the points on L whose distance from (1, -1, 1) is 2 units?

Correct Answer: (d)
Solution:

47. Which one of the planes is parallel to the line

Correct Answer: (d) x - 2y + z - 1 = 0
Solution:

48. What is the angle between the lines 2x = 3y = - z and 6x = - y = - 4z ?

Correct Answer: (d) 90°
Solution:

49. What is the equation of the sphere concentric with the sphere x² + y² + z² - 2x - 6y - 8z - 5 = 0 and which passes through the origin?

Correct Answer: (d) x² + y² + z² - 2x - 6y - 8z = 0
Solution:

50. A point P lies on the line joining A(1, 2, 3) and B (2, 10, 1). If z-coordinate of P is 7, what is the sum of other two coordinates?

Correct Answer: (a) -15
Solution: