The locus of point such that the sum of the squares of its distances from the planes `x+y+z=0, x-z=0 and x-2y+z=0` is 9 is (A) `x^2+y^2+z^2=3` (B) `x^2+y^2+z^2=6` (C) `x^2+y^2+z^2=9` (D) `x^2+y^2+z^2=12`

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

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

Find the equation of the plane mid-parallel to the planes 2x-2y+z+3=0 and 2x-2y+z+9=0 .

The shortest distance between the lines 2x+y+z-1=0=3x+y+2z-2 and x=y=z, is

Let P be an arbitrary point having sum of the squares of the distances from the planes x+y+z=0, lx-nz=0 and x-2y+z=0 , equal to 9. If the locus of the point P is x^(2)+y^(2)+z^(2)=9 , then the value of l-n is equal to ________.

The equation of the plane containing the line 2x+z-4=0 nd 2y+z=0 and passing through the point (2,1,-1) is (A) x+y-z=4 (B) x-y-z=2 (C) x+y+z+2=0 (D) x+y+z=2