Q88.The shortest distance between the z - axis and the line x + y + 2z −3 = 0 = 2x + 3y + 4z −4, is (1) 1 (2) 2 (3) 3 (4) 4
What This Question Tests
The question asks for the shortest distance between two lines, one of which is the z-axis and the other is defined as the intersection of two planes. It requires converting the second line to standard vector form and then applying the formula for the shortest distance between skew lines.
Concepts Tested
Formulas Used
Shortest distance = |(a2→ - a1→) · (b1→ x b2→)| / |b1→ x b2→|
Vector form of a line from Cartesian equations of a plane
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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Shortest distance between two lines
- Year
- 2015
- Shift
- 11 Apr Online
- Q Number
- Q88
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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