Q88.If the line, x−3 2 = y+2−1 = z+43 lies in the plane lx + my −z = 9, then l2 + m2 is equal to (1) 5 (2) 2 (3) 26 (4) 18
What This Question Tests
This question tests the conditions for a line to lie completely within a plane: a point on the line must satisfy the plane equation, and the direction vector of the line must be orthogonal to the normal vector of the plane.
Concepts Tested
Formulas Used
Line: (x-x₁)/a = (y-y₁)/b = (z-z₁)/c
Plane: Ax+By+Cz=D
Condition for line in plane: A(x₁) + B(y₁) + C(z₁) = D and Aa+Bb+Cc=0
📚 NCERT Sections This Tests
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.
1.18 — A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 · Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
4.4 — A Horizontal Overhead Power Line Carries A Current Of 90 A In East To
Physics Class 11 · Chapter 4
4.4 A horizontal overhead power line carries a current of 90 A in east to west direction. What is the magnitude and direction of the magnetic field due to the current 1.5 m below the line?
📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Line lying in a plane
- Year
- 2016
- Shift
- 03 Apr
- Q Number
- Q88
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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