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 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.

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

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 distance between the planes x+2y-2z+1=0 and 2x+4y-4z+5=0 , is

Find the distance between the planes x+2y+3z+7=0 and 2x+4y+6z+7=0 .

What is the distance between the planes x-2y+z-1=0 and -3x+6y-3z+2=0 ?

The distance between the planes 3x+5y+z=8 and 3x+5y+z+27 = 0 is :

Are the planes x+y-2z+4=0 and 3x+3y-6z+5=0 intersecting