Find the locus of a point

MATHEMATICS · Subjective · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Find the locus of a point, the sum of squares of whose distances from the planes x−z=0x-z=0 , x−2y+z=0x-2y+z=0 and x+y+z=0x+y+z=0 is 36.

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