Q89.If the shortest distance between the lines x+√6 2 = 3 = z−√64 and x−λ3 = y−2√64 = z+2√65 is 6 , then sum of squares of all possible values(s) of λ is
What This Question Tests
This question involves calculating the shortest distance between two skew lines given in symmetric form, which requires correctly identifying the point and direction vectors for each line and applying the shortest distance formula.
Concepts Tested
Formulas Used
Shortest distance = |(a₂ - a₁) ⋅ (b₁ × b₂)| / |b₁ × b₂|
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Shortest distance between two skew lines
- Year
- 2023
- Shift
- 24 Jan Shift 2
- Q Number
- Q89
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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