If the lines x-2 1 = y-3 1 = z-4 -k and x-1 k = y-4 2 = z-5 1 are coplanar, then k can…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
If the lines
\(\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k} \text { and } \frac{x-1}{k}=\frac{y-4}{2}=\frac{z-5}{1}\)
are coplanar, then k can have
\(\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k} \text { and } \frac{x-1}{k}=\frac{y-4}{2}=\frac{z-5}{1}\)
are coplanar, then k can have
- any value
- exactly one value
- exactly two values
- exactly three value
Answer
(C) exactly two values
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