Introduction to Three Dimensional Geometry

The coordinates of any point in the third octant have signs:

1. (+,+,+)
2. (-,-,-)
3. (-,+,-)
4. (+,-,+)

The coordinate axes in three-dimensional geometry are:

1. Parallel
2. Mutually perpendicular
3. Circular
4. Coincident

The coordinates of the point dividing the line segment joining A(x1,y1,z1) and B(x2,y2,z2) in the ratio 1:1 are:

1. A point at origin
2. Midpoint
3. Projection point
4. Centroid

A point with coordinates (0, y, z) lies on:

1. xy-plane
2. yz-plane
3. xz-plane
4. x-axis

The midpoint of the line joining two points is:

1. Average of their coordinates
2. Difference of coordinates
3. Product of coordinates
4. Sum of coordinates only

If a point lies on the z-axis, its coordinates are:

1. (x, y, z)
2. (0, 0, z)
3. (0, y, 0)
4. (x, 0, 0)

The point (3, -4, 5) lies in which octant?

1. First octant
2. Second octant
3. Octant with signs (+, -, +)
4. Third octant

The distance between two points (x1, y1, z1) and (x2, y2, z2) is:

1. √[(x2-x1)²+(y2-y1)²+(z2-z1)²]
2. x1+x2+y1+y2+z1+z2
3. (x2-x1)+(y2-y1)
4. √(x²+y²)

The coordinates of a point on the xy-plane are:

1. (x, y, 0)
2. (0, y, z)
3. (x, 0, z)
4. (0, 0, z)

The number of octants in three-dimensional space is:

1. 4
2. 6
3. 8
4. 12

The coordinates of a point lying on the x-axis are:

1. (0, y, z)
2. (x, 0, 0)
3. (0, 0, z)
4. (x, y, 0)

The point (0, 0, 0) is called:

1. Unit point
2. Origin
3. Midpoint
4. Centroid

The distance of a point (x, y, z) from the origin is:

1. √(x² + y² + z²)
2. x + y + z
3. x² + y² + z²
4. √(x + y + z)

The three coordinate planes in three-dimensional geometry are:

1. xy, yz, xz planes
2. xy, yz, yz planes
3. x, y, z planes
4. only xy plane

The coordinates of a point in three-dimensional space are represented as:

1. (x, y)
2. (x, y, z)
3. (x, z)
4. (y, z)