Coordinates of a point in space and distance between two points - One Line Questions

1. Which of the following points lies in the first octant? — (1, 2, 3)
2. What are the coordinates of the origin in a 3D Cartesian system? — (0, 0, 0)
3. Which of the following points is closest to the origin? — (0, -1, 0)
4. If a point lies on the y-axis, its coordinates are of the form: — (0, y, 0)
5. Find the distance of the point P(3, 4, 0) from the xy-plane. — 0
6. If the distance between (2, y, 1) and (1, 0, 1) is sqrt(2), what is the value of y? — Any real number
7. What is the distance of the point (5, 0, 0) from the origin? — 5
8. What is the distance between the points (1, 2, 3) and (1, 2, 3)? — 0
9. Find the distance between the points (1, 0, 0) and (0, 1, 0). — sqrt(2)
10. Find the distance between the points P(2, 3, 4) and Q(2, 3, 5). — 1
11. Find the distance between the points P(1, 1, 1) and Q(1, 1, 0). — 1
12. Find the distance between the points P(1, 2, 3) and Q(1, 2, 4). — 1
13. What is the distance of the point (1, 2, 3) from the y-axis? — sqrt(1^2 + 3^2)
14. What is the distance between the points (1, 0, 0) and (0, 0, 1)? — sqrt(2)
15. What is the distance of the point (2, 3, 4) from the xz-plane? — 3
16. The point (x, y, z) is equidistant from the origin and the point (6, 0, 0). What is the value of x? — 3
17. Find the distance between the points P(3, 0, 0) and Q(0, 4, 0). — 5
18. If the distance between (3, 4, 5) and (3, 4, z) is 2, what is the value of z? — 3 or 7
19. If the distance between (x, 2, 3) and (1, 2, 3) is 5, what is the value of x? — ±6
20. What is the distance of the point (3, 4, 5) from the origin (0, 0, 0)? — sqrt(59)
21. What is the distance of the point (a, b, c) from the yz-plane? — a
22. What is the distance of the point (a, b, c) from the xy-plane? — c
23. If a point has coordinates (x, y, z), and x=0, y=0, z=0, it represents: — The origin
24. What are the coordinates of a point in three-dimensional space? — Three values (x, y, z)
25. Calculate the distance between P(0, 0, 0) and Q(a, b, c). — sqrt(a^2 + b^2 + c^2)
26. The distance between the points (a, b, c) and (a, b, c+d) is: — abs(d)
27. If a point P has coordinates (x, y, z), what is the geometric interpretation of 'x'? — Its signed distance from the yz-plane
28. The distance formula between two points P1(x1, y1, z1) and P2(x2, y2, z2) in 3D is given by: — sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
29. Find the distance between P(2, -1, 3) and Q(-1, 2, 1). — sqrt(22)
30. A point P has coordinates (5, -3, 2). What is its distance from the origin? — sqrt(38)
31. Find the distance between the points P(1, -1, 2) and Q(2, 1, -2). — sqrt(17)
32. Calculate the distance between P(1, 2, 3) and the origin. — sqrt(14)
33. Calculate the distance between the points A(1, 2, 3) and B(4, 5, 6) in 3D space. — sqrt(27)
34. Consider points P(1, 1, 1) and Q(2, 2, 2). What is the distance PQ? — sqrt(3)
35. Find the distance between the points A(0, 0, 0) and B(3, 4, 5). — sqrt(59)
36. What is the distance between the points (a, 0, 0) and (0, b, 0)? — sqrt(a^2 + b^2)
37. What is the distance of the point (a, b, c) from the x-axis? — sqrt(b^2 + c^2)
38. What is the distance of the point (a, b, c) from the y-axis? — sqrt(a^2 + c^2)
39. What is the distance of the point (a, b, c) from the z-axis? — sqrt(a^2 + b^2)
40. In the Cartesian coordinate system for 3D space, what does the first coordinate (x) typically represent? — The distance along the x-axis
41. Which axis is perpendicular to both the x-axis and y-axis in a standard 3D Cartesian coordinate system? — The z-axis
42. If a point P is in the xy-plane, what is its z-coordinate? — 0
43. The distance of a point P(x, y, z) from the origin is given by: — sqrt(x^2 + y^2 + z^2)
44. A point P is in the yz-plane. What can be said about its x-coordinate? — x = 0
45. A point P has coordinates (x, y, z). What is the square of its distance from the origin? — x^2 + y^2 + z^2
46. A point with coordinates (0, 0, 5) lies on which axis? — z-axis
47. If a point has coordinates (0, y, 0), it lies on which axis? — y-axis
48. Find the distance between the points A(x, y, z) and B(x, y, z). — 0
49. If a point has coordinates (x, 0, z), it lies in which plane? — xz-plane
50. If a point lies on the x-axis, what are its y and z coordinates? — y=0, z=0
All One Line Questions
E-Book Coordinates of a point in space and distance between two points Online Test Coordinates of a point in space and distance between two points Question Bank Coordinates of a point in space and distance between two points