Q79.The distance, of the point (7, −2, 11) from the line x−61 = y−40 = z−83 along the line x−52 = y−1−3 = z−56 , is : (1) 12 (2) 14 (3) 18 (4) 21
What This Question Tests
The question requires finding the intersection point of a line passing through a given point parallel to a direction vector with another given line, and then calculating the distance between the given point and this intersection.
Concepts Tested
Formulas Used
Equation of line: (x-x1)/a = (y-y1)/b = (z-z1)/c = λ
Distance between two points: √((x2-x1)² + (y2-y1)² + (z2-z1)²)
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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Distance of a point from a line along another line
- Year
- 2024
- Shift
- 27 Jan Shift 1
- Q Number
- Q79
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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