Q70.If for some, α ∈R, the lines L1 : x+12 = y−2−1 = z−11 and L2 : x+2α = 5−αy+1 = z+11 are coplanar, then the line L2 passes through the point : (1) (10, 2, 2) (2) (2, –10, –2) (3) (10, –2, –2) (4) (–2, 10, 2)
What This Question Tests
This problem requires applying the condition for two lines in 3D to be coplanar by setting the scalar triple product of relevant vectors to zero, solving for the unknown parameter, and then identifying a point on the second line.
Concepts Tested
Formulas Used
Condition for coplanarity of lines (x-x1)/a1 = (y-y1)/b1 = (z-z1)/c1 and (x-x2)/a2 = (y-y2)/b2 = (z-z2)/c2 is |x2-x1 y2-y1 z2-z1; a1 b1 c1; a2 b2 c2| = 0
📚 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
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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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📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Coplanar Lines
- Year
- 2020
- Shift
- 05 Sep Shift 2
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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