Q79.The shortest distance between the lines x−3 2 = y−23 = z−1−1 and x+32 = y−61 = z−53 is (1) 18 (2) 22 √5 3√5 (3) 46 (4) 6√3 3√5
What This Question Tests
The question combines finding the foot of the perpendicular from a point to a line with calculating the distance of that foot from a given plane.
Concepts Tested
Formulas Used
Equation of line (x-x1)/a = (y-y1)/b = (z-z1)/c = λ
Dot product of perpendicular vectors is zero
Distance = |Ax0+By0+Cz0+D| / √(A²+B²+C²)
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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Foot of perpendicular and distance of a point from a plane
- Year
- 2022
- Shift
- 27 Jun Shift 2
- Q Number
- Q79
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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