Q80.If the shortest distance between the lines x−41 = y+12 = −3z and x−λ2 = y+14 = z−2−5 is √56 , then the sum of all possible values of λ is : (1) 5 (2) 8 (3) 7 (4) 10
What This Question Tests
This problem tests the direct application of the formula for the shortest distance between two skew lines and solving the resulting equation to find possible values of a parameter.
Concepts Tested
Formulas Used
Shortest distance = |(a2 - a1) . (b1 x b2)| / |b1 x b2|
Cross product, Dot product
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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Shortest distance between two skew lines
- Year
- 2024
- Shift
- 27 Jan Shift 1
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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