Q89.Let Q be the foot of perpendicular from the origin to the plane 4x −3y + z + 13 = 0 and R be a point (−1, −6) on the plane. Then length QR is : (1) √14 (2) √192 (3) 3√72 (4) √23
What This Question Tests
This question tests the ability to find the coordinates of the foot of the perpendicular from the origin to a plane and then calculate the distance between two points in 3D space.
Concepts Tested
Formulas Used
Foot of perpendicular from (x₀, y₀, z₀) to Ax+By+Cz+D=0
Distance formula in 3D
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Planes
- Year
- 2013
- Shift
- 22 Apr Online
- Q Number
- Q89
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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