Mathematics- 3D geometry-3

Test Preparation on Mathematics- 3D geometry-3

1.

The point (-1, -2, -3) lies in the octant

1a
2b
3c
4d

Clearly, the point (-1, -2, -3) lies in o x' y' z' octant.

2.

The point equidistant from the four points (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) will be

1(2a, 2b, 2c)
2(a,b,c)
3(a/2, b/2,c/2)
4(a/9, b/3,c/3)

3.

The ratio in which the line joining (2, 4, 5), (3, 5, -4) is divided by the yz-plane is

1`2 : 3
2`3 : 2
3`1 : 2
4`4 : -3

4.

If A(0, 0, 0), B(2, -3, 3), C(-2, 3, -3) are three collinear points, then

1`-1 : 2
2`-2 : 1
3`1 : 1
4`1 : 2

5.

The three mutually perpendicular planes divide the space into

16 parts
28 parts
34 parts
43 parts

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