The shortest distance between any two opposite edges of the tetrahedron formed by…

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

The shortest distance between any two opposite edges of the tetrahedron formed by planes

x + y = 0, y + z = 0, z + x = 0, x + y + z = a

is constant, equal to (1)

2a

(2)

\frac{2a}{\sqrt{6}}

(3)

\frac{a}{\sqrt{6}}

(4)

\frac{2a}{\sqrt{3}}