Mathematics (NDA SOLVED PAPER 2020 – II) (51 to 100)

Total Questions: 50

11. What is the length of the diameter of the sphere whose centre is at (1, -2, 3) and which touches the plane 6x - 3y + 2z - 4 = 0?

Correct Answer: (d) 4 units
Solution:

12. What is the perpendicular distance from the point (2, 3, 4) to the line

Correct Answer: (b) 5 units
Solution:

13. If a line has direction ratios <a>, then what is the sum of the squares of its direction cosines?

Correct Answer: (d) 1
Solution:

14. Into how many compartments do the coordinate planes divide the space?

Correct Answer: (c) 8
Solution:The coordinate planes divides the spaces into 8 compartment.

15. What is the equation of the plane which cuts an intercept 5 units on the Z-axis and is parallel to XY-plane?

Correct Answer: (b) z = 5
Solution:

16. Find the value?

Correct Answer: (a)
Solution:

17. Let A be a point in space such that |OA| = 12 , where O is the origin. If OA is inclined at angles 45° and 60° with X -axis and Y -axis respectively, then what is OA equal to?

Correct Answer: (c)
Solution:

18. Find the value?

Correct Answer: (c) 31
Solution:

19. Solve it?

Correct Answer: (a) 3
Solution:

20. Find the value?

Correct Answer: (b) − 1
Solution: