Mathematics NDA/NA SOLVED PAPER 2018 (I) (51 to 100)

Total Questions: 50

11. The coordinates of the vertices P, Q and R of a triangle PQR are (1 ,−1, 1) , (3, − 2, 2) and (0, 2, 6) respectively. If ∠RQP = 9, then what is ∠PRQ equal to?

Correct Answer: (d) 90° − θ
Solution:

12. The perpendiculars that fall from any point of the straight line 2x + 11y = 5 upon the two straight lines 24x + 7y = 20 and 4x - 3y = 2 are:

Correct Answer: (c) Equal to each other
Solution:

13. The equation of the line, when the portion of it intercepted between the axes is divided by the point (2, 3) in the ratio of 3 : 2, is:

Correct Answer: (d) Either x + y = 5 or 9x + 4y = 30
Solution:

14. What is the distance between the straight lines 3x + 4y = 9 and 6x + 8y = 15?

Correct Answer: (b) 3/10
Solution:

15. What is the equation of the sphere whose centre is at (-2, 3, 4) and radius is 6 units?

Correct Answer: (a) x² + y² + z² + 4x – 6y – 8z = 7
Solution:

16. Find the answer of given equation?

Correct Answer: (a) 30°
Solution:

17. Find the answer of given question?

Correct Answer: (a) 9p² = 4q²
Solution:

18. Find the answer of given equation?

Correct Answer: (a) –3î + 11ĵ + 9k̂
Solution:

19. Simplify the question?

Correct Answer: (d) 6
Solution:

20. Simplify the equation?

Correct Answer: (b)
Solution: