Q87.A plane which bisects the angle between the two given planes 2x −y + 2z −4 = 0 and x + 2y + 2z −2 = 0, passes through the point (1) (2, 4, 1) (2) (1, −4, 1) (3) (1, 4, −1) (4) (2, −4, 1)
What This Question Tests
The problem requires finding the equation of the planes that bisect the angle between two given planes and then identifying which of the given points lies on one of these bisector planes.
Concepts Tested
Formulas Used
(a₁x+b₁y+c₁z+d₁)/√(a₁²+b₁²+c₁²) = ± (a₂x+b₂y+c₂z+d₂)/√(a₂²+b₂²+c₂²)
📚 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.
2.3 — Two Charges 2 Mc And –2 Mc Are Placed At Points A And B 6 Cm
Physics Class 11 · Chapter 2
2.3 Two charges 2 mC and –2 mC are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system. (b) What is the direction of the electric field at every point on this surface?
2.4 — A Spherical Conductor Of Radius 12 Cm Has A Charge Of 1.6 × 10–7C
Physics Class 11 · Chapter 2
2.4 A spherical conductor of radius 12 cm has a charge of 1.6 × 10–7C distributed uniformly on its surface. What is the electric field (a) inside the sphere (b) just outside the sphere (c) at a point 18 cm from the centre of the sphere?
📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Planes
- Year
- 2019
- Shift
- 12 Apr Shift 2
- Q Number
- Q87
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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