Q89.The plane passing through the point (4, −1, 2) and parallel to the lines x+23 = y−2−1 = z+12 and x−2 1 = y−32 = z−43 also passes through the point (1) (1, 1, −1) (2) (−1, − 1, −1) (3) (−1, −1, 1) (4) (1, 1, 1)
What This Question Tests
This question tests the ability to find the equation of a plane that passes through a given point and is parallel to two given lines, which involves finding the normal vector using the cross product of the direction vectors of the lines.
Concepts Tested
Formulas Used
Equation of a plane: A(x-x1) + B(y-y1) + C(z-z1) = 0
Cross product of direction vectors for normal vector
📚 NCERT Sections This Tests
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?
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.
1.15 — What Is The Net Flux Of The Uniform Electric Field Of Exercise 1.14
Physics Class 11 · Chapter 1
1.15 What is the net flux of the uniform electric field of Exercise 1.14 through a cube of side 20 cm oriented so that its faces are parallel to the coordinate planes?
📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Equation of a Plane
- Year
- 2019
- Shift
- 10 Jan Shift 1
- Q Number
- Q89
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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