Q80.Let P be the point of intersection of the lines x−21 = y−45 = z−21 and x−32 = y−23 = z−32 . Then, the shortest distance of P from the line 4x = 2y = z is (1) 5√14 (2) 3√14 7 7 (3) √14 (4) 6√14 7 7
What This Question Tests
This question requires finding the intersection point of two lines and then calculating the shortest distance from this point to a third line. It involves parametric representation of lines and the formula for point-to-line distance in 3D.
Concepts Tested
Formulas Used
Intersection of lines by equating general points
Shortest distance from point P to line L: |(PQ_vec x d_vec)| / |d_vec|
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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Shortest distance between a point and a line
- Year
- 2024
- Shift
- 04 Apr Shift 2
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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