Question

The locus of the equation $xyz = 0$ is

• A. {(0, 0, 0)}
• B. the set of all points on the co-ordinate axes
• C. the set of all points on the co-ordinate planes
• D. none of these.

Answer 1

Answer: (C)

the set of all points on the co-ordinate planes

Answer 2

$xyz = 0$ is satisfied by every point on the planes $x = 0, y = 0, z = 0.$