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Answer :
Final answer:
Exactly one line can be drawn perpendicular to two skew lines, and this line is the unique common perpendicular between them. Hence the correct answer is option C
Explanation:
For two skew lines, which are lines that do not intersect and are not parallel, there is exactly one line that can be drawn perpendicular to both of them. This line is known as the common perpendicular or the shortest line segment joining the two skew lines, and it is unique. The situation where we have infinite common perpendiculars occurs only when two lines are parallel and thus equidistant everywhere along their lengths.
In the case of skew lines, however, we have exactly one such perpendicular segment. Using geometrical principles, particularly in three-dimensional space or Euclidean geometry, we ascertain that this configuration could have only one common perpendicular.
Hence the correct answer is option C
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