JEE Main 2004 — Three Dimensional Geometry Question with Solution
JEE Main 2004
Question
A line with direction cosines proportional to meets each of the lines and . The co-ordinates of each of the point of intersection are given by
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Any point on the line (say) is and any point on the line say is .
Now direction cosine of the lines intersecting the above lines is proportional to .
Hence and
On solving these, we get .
Hence points are and
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This is a previous-year question from JEE Main 2004, covering the Three Dimensional Geometry chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.