Question

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

• A. $x^2 + y^2 + z^2 = 2$
• B. $x^2 + y^2 + z^2 = 1$
• C. $x + y + z = 2$
• D. $x + y + z = 1$

Answer 1

Answer: (A)

$x^2 + y^2 + z^2 = 2$

Answer 2

The correct option is (A): $x^2 + y^2 + z^2 = 2$