A point moves so that the sum of the squares of its distances from the six faces of a cube given...

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A point moves so that the sum of the squares of its distances from the six faces of a cube given by \( \mathrm{x}=\pm 1, \mathrm{y}=\pm 1, \mathrm{z}=\pm 1 \) is 10 units. The locus of the point is
(1) \( x^{2}+y^{2}+z^{2}=1 \)
(2) \( x^{2}+y^{2}+z^{2}=2 \)
(3) \( x+y+z=1 \)
(4) \( x+y+z=2 \)
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