Q:- A point moves so that the sum of the squares of its distances from the six faces of a cube given by x=±1, y=±1, z=±1 is 10 units . The locus of the point is

A. x^2+y^2+z^2=1

B. x^2+y^2+z^2=2

C. x+y+z =1

C. x+y+z=2

Dear Tapasranjan

planes are

x=±1, y=±1, z=±1

let the point is (x1,y1,z1)

 use distance formula of a point from a plane

(x1-1)² +(x1+1)² +(y1-1)² +(y1+1)² +(z1-1)² +(z1+1)² =10

2x₁² + 2y₁²+ 2z₁²  + 6 =10

x₁² + y₁²+ z₁²  =2

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