1. Three Dimensional Geometry
Capsule -I

2. Let us consider three mutually perpendicular lines in space passing through a fixed point O.
The Point O is called origin and three lines OX,OY,OZ are termed as X axis, Y axis and Z axis respectively.
The moving arrows shows the +ve direction of these axes and the opposite of it is –ve direction.

3. The plane containing X and Y axes is called XY Plane.

4. The plane containing Y and Z axes is called YZ Plane.

5. The plane containing Z and X axes is called ZX Plane.

6. All the three planes are extended to infinity and they divide the whole space in 8 parts called octants and denoted by I Octant, II Octant,III Octant and IV Octant above XY-Plane taken anticlockwise as shown in fig. and corresponding below the XY plane taken as V,VI,VII and VIII Octant.

7. We define,
Distance of point from XY Plane as Z Coordinate.
Distance of point from YZ Plane as X Coordinate.
Distance of point from ZX Plane as Y Coordinate.
That is
Distance parallel to Z axis as Z coordinate
Distance parallel to X axis as X coordinate
Distance parallel to Y axis as Y coordinate

8. Capsule -1
Of course, we much take coordinates +ve and –ve as per direction of axis.

9. Coordinates of the point on X-axis at a distance 4 units from origin will be
0,0,0 B)
0,0,4 C)
0,4,0 D)
4,0,0
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10. Coordinates of a point in space whoe distance from origin is 3 units and lying on X-ais in its -ve direction is A)
3,0,0 B)
-3,0,0 C)
0,3,-3 D)
0,-3,3
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11. A point is on +ve direction of Y-axis at 7 units from origin
A point is on +ve direction of Y-axis at 7 units from origin. then its coordiantes will be A)
0,0,7 B)
0,0,-7 C)
0,7,0 D)
0,-7,0
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12. A point is in XY plane. Its distance measured parallel to X axis is 10 units and that of parallel to Y axis is 20 units.Then its coordinates are A)
10,0,20 B)
20,10,0 C)
10,20,0 D)
0,10,20
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