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

The Correct Option is A

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