CBSE Class 12 Sample Paper for 2024 Boards

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Question 5 - CBSE Class 12 Sample Paper for 2024 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 4, 2026 by

The lines r =iˆ+jˆ-kˆ+λ(2iˆ+3jˆ-6kˆ) and r =2iˆ-jˆ-kˆ+μ(6iˆ+9jˆ-18kˆ);( where λ &  μ are scalars) are

  (a)coincident              (b) skew          

  (c) intersecting           (d) parallel

[Class 12 - Sample Paper] The lines r = i + j + k - λ(2i+3j-6k) and - CBSE Class 12 Sample Paper for 2024 Boards

part 2 - Question 5 - CBSE Class 12 Sample Paper for 2024 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

 

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Transcript

The given lines are : š‘Ÿ āƒ—=š‘– Ė†+š‘— Ė†āˆ’š‘˜ Ė†+šœ†(šŸš’Š Ė†+šŸ‘š’‹ Ė†āˆ’šŸ”š’Œ Ė† ) and š‘Ÿ āƒ—=2š‘– Ė†āˆ’š‘— Ė†āˆ’š‘˜ Ė†+šœ‡(6š‘– Ė†+9š‘— Ė†āˆ’18š‘˜ Ė†) or š‘Ÿ āƒ—=2š‘– Ė†āˆ’š‘— Ė†āˆ’š‘˜ Ė†+3šœ‡(2š‘– Ė†+3š‘— Ė†āˆ’6š‘˜ Ė†) Let 3šœ‡=š‘Ž š‘¤ā„Žš‘’š‘Ÿš‘’ š‘Ž š‘–š‘  š‘Žš‘›š‘¦ š‘ š‘š‘Žš‘™š‘Žš‘Ÿ or š‘Ÿ āƒ—=2š‘– Ė†āˆ’š‘— Ė†āˆ’š‘˜ Ė†+š‘Ž(šŸš’Š Ė†+šŸ‘š’‹ Ė†āˆ’šŸ”š’Œ Ė†) Since the parallel vector in both is the same Hence, the given lines are parallel So, the correct answer is (d)

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