Mathematics (NDA/NA SOLVED PAPER 2019 (I) (51 to 100)

Total Questions: 50

11. The centroid of the triangle with vertices A(2, -3, 3), B(5, -3, -4) and C(2, -3, -2) is the point:

Correct Answer: (b) (3, -3, -1)
Solution:

12. What is the radius of the sphere x² + y² + z² - 6x + 8y - 10z + 1 = 0?

Correct Answer: (c) 7
Solution:

13. The equation of the plane passing through the intersection of the planes 2x + y + 2z = 9, 4x - 5y - 4z = 1 and the point (3, 2, 1) is:

Correct Answer: (a) 10x - 2y + 2z = 28
Solution:

14. The distance between the parallel planes 4x - 2y + 4z + 9 = 0 and 8x - 4y + 8z + 21 = 0?

Correct Answer: (a) 1/4
Solution:

15. What are the direction cosines of Z-axis?

Correct Answer: (d)
Solution:

Direction cosines of Z-axis are <cos 90°, cos 90°, cos 0°> <0, 0, 1>

16. Find the answer of given question?

Correct Answer: (b) −106
Solution:

17. Find the answer of given question?

Correct Answer: (d) √53
Solution:

18. If in a right angled triangle ABC, hypotenuse AC = p, then what is AB ⋅ AC + BC ⋅ BA + CA ⋅ CB equal to?

Correct Answer: (a) p²
Solution:

19. solve the following equation?

Correct Answer: (b) 5/√26
Solution:

20. Find the answer of given equation?

Correct Answer: (d) 4
Solution: