Q8. Let the lines 3x −4y −α = 0, 8x −11y −33 = 0, and 2x −3y + λ = 0 be concurrent. If the image of the point (1, 2) in the line 2x −3y + λ = 0 is ( 5713 , −4013 ), then |αλ| is equal to (1) 84 (2) 113 (3) 91 (4) 101
What This Question Tests
This question involves finding the intersection point of two 3D lines, one of which is defined by a point and parallelism to another line, and then calculating the distance from this point to another given point.
Concepts Tested
Formulas Used
Parametric form of line: (x1 + t*l, y1 + t*m, z1 + t*n)
Distance = √((x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2)
📚 NCERT Sections This Tests
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2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
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Chemistry Class 11 · Chapter 5
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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Intersection of lines in 3D
- Year
- 2025
- Shift
- 24 Jan Shift 1
- Q Number
- Q8
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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