Spheres of unit diameter are centered at (l, m, n) where l, m, and n take…

GATE · 2025 · EE · General Aptitude

Spheres of unit diameter are centered at (l, m, n) where l, m, and n take every possible integer values.

The distance between two spheres is computed from the center of one sphere to the center of the other sphere. For a given sphere, x is the distance to its nearest sphere and y is the distance to its next nearest sphere. The value of yx\frac{y}{x} is:

  1. A.

    222\sqrt{2}

  2. B.

    12\frac{1}{\sqrt{2}}

  3. C.

    2\sqrt{2}

  4. D.

    2

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