Introduction to Three-Dimensional Geometry – Coordinate Axes, Octants

Grade 11 Maths — Introduction to Three-Dimensional Geometry – Coordinate Axes, Octants: 25 practice questions with instant scoring and explanations.

1. In 3D coordinate system, how many octants exist?
2. A point with coordinates (x, y, z) lies in the first octant if:
3. The point (2, -3, 5) lies in which octant?
4. In 3D geometry, the three coordinate axes are mutually:
5. If a point lies on the xy-plane, its z-coordinate is:
6. The point (-1, -2, -3) lies in which octant?
7. A point on the x-axis has coordinates of the form:
8. The number of octants where x < 0 is:
9. Points in the second octant have the form:
10. A plane perpendicular to the z-axis passes through:
11. The xy-plane is defined by the equation:
12. A point on the yz-plane has the form:
13. The point (3, 4, 5) lies in:
14. If a point (a, b, c) is in the fifth octant, then:
15. The z-axis is defined by:
16. How many octants have y > 0?
17. The origin (0, 0, 0) is located at the junction of:
18. A point in the third octant has coordinates:
19. The xz-plane is given by:
20. If a point P has z < 0, then P can lie in how many octants?
21. Points on the y-axis have coordinates:
22. The sixth octant is characterized by:
23. A point lies in the seventh octant if:
24. The coordinate axes in 3D divide space into:
25. If a point P(a, b, c) is in octant VI, then a, b, c satisfy: