Q1: Which octant do the point (−5,4,3) lie?
A. Octant I
B. Octant II
C. Octant III
D. Octant IV
Answer: B. Octant II

Q.2: A point is on the x-axis. Which of the following represent the point?

A. (0, x, 0)

B. (0, 0, x)

C. (x, 0, 0)

D. None of the above

Answer: C. (x, 0, 0)

Q.3: Coordinate planes divide the space into ______ octants.

A. 4

B. 6

C. 8

D. 10

Answer: C. 8

Q.4: What is the distance between the points (2, –1, 3) and (–2, 1, 3)?

A. 2√5 units

B. 25 units

C. 4√5 units

D. √5 units

Answer: A. 2√5 units

Q.5: The maximum distance between points (3sin θ, 0, 0) and (4cos θ, 0, 0) is:

(a) 3 units

(b) 4 units

(c) 5 units

(d) Cannot be determined

Answer: (c) 5

Q.6: The locus represented by xy + yz = 0 is:

(a) A pair of perpendicular lines

(b) A pair of parallel lines

(c) A pair of parallel planes

(d) A pair of perpendicular planes

Answer: (d) A pair of perpendicular planes

Q.7: Find the image of (−2,3,4) in the y z plane.

A. (-2, 3, 4)

B. (2, 3, 4)

C. (-2, -3, 4)

D. (-2, -3, -4)

Answer: B. (2, 3, 4)

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

(a)8

(b)7

(c)6

(d) None of the above

Answer: A. 8

Q.9: The image of the point P(1,3,4) in the plane 2x – y + z = 0 is:

(a) (-3, 5, 2)

(b) (3, 5, 2)

(c) (3, -5, 2)

(d) (3, 5, -2)

Answer: Answer: (a) (-3, 5, 2)

Q.10: The distance of the point P(a, b, c) from the x-axis is:

(a) √(a² + c²)

(b) √(a² + b²)

(c) √(b² + c²)

(d) None of these

Answer: (c) √(b² + c²)