Three Dimensional Geometry Question 272

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

Options:

A) $ x-y+z=2 $

B) $ x+y-z=0 $

C) $ x-y+z=0 $

D) $ x-y-z=2 $

Show Answer

Answer:

Correct Answer: C

Solution:

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