INTRODUCTION TO THREE-DIMENSIONAL GEOMETRY

Which octant do the point (−5,4,3) lie?

• Octant I

• Octant II

• Octant III

• Octant IV

A point is on the x-axis. Which of the following represent the point?

• (0, x, 0)

• (0, 0, x)

• (x, 0, 0)

• None of the above

Coordinate planes divide the space into ______ octants.

• 4

• 6

• 8

• 10

What is the distance between the points (2, –1, 3) and (–2, 1, 3)?

• 2√5 units

• 25 units

• 4√5 units

• √5 units

The maximum distance between points (3sin θ, 0, 0) and (4cos θ, 0, 0) is:

• 3 units

• 4 units

• 5 units

• Cannot be determined

The locus represented by xy + yz = 0 is:

• A pair of perpendicular lines

• A pair of parallel lines

• A pair of parallel planes

• A pair of perpendicular planes

Find the image of (−2,3,4) in the y z plane.

• (-2, 3, 4)

• (2, 3, 4)

• (-2, -3, 4)

• (-2, -3, -4)

The perpendicular distance of the point P(6, 7, 8) from the XY – Plane is:

• 8

• 7

• 6

• None of the above

The image of the point P(1,3,4) in the plane 2x – y + z = 0 is:

• (-3, 5, 2)

• (3, 5, 2)

• (3, -5, 2)

• (3, 5, -2)

The distance of the point P(a, b, c) from the x-axis is:

• √(a² + c²)

• √(a² + b²)

• √(b² + c²)

• None of these