Question

A point moves in such a way that the sum of its distance from xy-plane and yz-plane remains equal to its distance from zx-plane. The locus of the point is

• A. $x - y + z = 2$
• B. $x + y - z = 0$
• C. $x - y + z = 0$
• D. $x - y - z = 2$

Answer 1

Answer: (C)

$x - y + z = 0$

Answer 2

According to question, $z + x = y$ or $x - y + z = 0$.