Q78.If the shortest distance between the lines x−1 2 = y−23 = z−3λ and x−21 = y−44 = z−55 is √31 , then the sum of all possible values of λ is: (1) 16 (2) 6 (3) 12 (4) 15
What This Question Tests
The question requires using the formula for the shortest distance between two skew lines and solving the resulting equation for the unknown parameter 'λ'.
Concepts Tested
Formulas Used
Line: r = a + λb
Shortest Distance = |(a2 - a1) . (b1 x b2)| / |b1 x b2|
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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Shortest distance between skew lines
- Year
- 2022
- Shift
- 24 Jun Shift 2
- Q Number
- Q78
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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