Mathematics- 3D geometry-2

Test Preparation on Mathematics- 3D geometry-2

1.

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

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

2.

A line passes through the points (6, -7, -1) and (2, -3, 1). If the angle which the line makes with the positive direction of the x-axis is acute, the direction cosines of the line are

12/3, - 2/3, - 1/3
22/9, - 2/6, - 1/2
32/2, - 2/2, - 1/2
48/2, - 4/2, - 1/2

3.

If a line makes angles ?, ? and ? with the axes respectively, then cos 2? + cos2? + cos 2? =

1-2
2-1
31
42

4.

The angle between a line with direction ratios 2, 2, 1 and a line joining (3, 1, 4) to (7, 2, 12) is

1a
2b
3c
4d

5.

14
2-4
32
4d

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