Question:medium

Two lines \( \frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4} \) and \( \frac{x-3}{1}=\frac{y-k}{2}=\frac{z}{1} \) intersect at a point. Then the value of \( k \) is

Show Hint

For intersection of two 3D lines, convert both into parametric form and equate corresponding coordinatesSolve for parameters first, then find the unknown constant.
Updated On: May 6, 2026
  • \( \frac{13}{2} \)
  • \( -\frac{13}{2} \)
  • \( \frac{7}{2} \)
  • \( \frac{9}{2} \)
Show Solution

The Correct Option is D

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