(Mathematics-Part-2) NDA/NA Solved Paper 2017-I

Total Questions: 50

11. A straight line with direction cosines (0, 1, 0) is

Correct Answer: (b) parallel to y-axi
Solution:

D.C's(0, 1,0)
Since x and z are zero, the straight line is parallel to y-axis

12. (0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c) are four distinct points. What are the coordinates of the point which is equidistant from the four points?

Correct Answer: (c)
Solution:

13. The points P(3, 2, 4), Q(4, 5, 2), R(5, 8, 0) and S(2, -1, 6) are

Correct Answer: (c) collinear
Solution:

14. The line passing through the points (1, 2, -1) and (3, -1, 2) meets the yz-plane at which one of the following points?

Correct Answer: (d)
Solution:

15. Under which one of the following conditions are the lines x = ay + b; z = cy + d and x = ey + f ; z = gy + h perpendicular?

Correct Answer: (c) ae+ cg +1 = 0
Solution:

16. Solve the following equation:

Correct Answer: (d) m=±2 and n = 1
Solution:

17. Solve the following question:


Correct Answer: (b)
Solution:


18. ABCD is a quadrilateral whose diagonals are AC and BD. Which one of the following is correct?

Correct Answer: (b)
Solution:

19. Solve the following question:

Correct Answer: (a)
Solution:


20. Solve the following equation:

Correct Answer: (b) 3
Solution: