1995 OIM Problems/Problem 3
Problem
Let and
be two orthogonal lines that are not in the same plane. Let
be their common perpendicular, such that
, and
(*).
The sphere of diameter is considered. The points
of the line
, and
of the line
, are variables, with the condition that
is tangent to the sphere at a point
.
Find the locus of T.
Note (*): the plane containing and
is perpendicular to
.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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