Q88.If the plane 2๐ฅ- ๐ฆ+ 2๐ง+ 3 = 0 has the distances 1 and 2 units from the planes 4๐ฅ- 2๐ฆ+ 4๐ง+ ๐= 0 and 3 3 2๐ฅ- ๐ฆ+ 2๐ง+ ๐= 0 , respectively, then the maximum value of ๐+ ๐ is equal to: (1) 9 (2) 15 (3) 13 (4) 5 ๐ฅ- 1 ๐ฆ+ 1 ๐ง
What This Question Tests
This question tests the understanding of the formula for the distance between parallel planes and requires careful algebraic manipulation to find the maximum possible value of ฮป+ฮผ.
Concepts Tested
Formulas Used
Distance between parallel planes Ax+By+Cz+Dโ=0 and Ax+By+Cz+Dโ=0 is |Dโ-Dโ|/โ(Aยฒ+Bยฒ+Cยฒ)
๐ NCERT Sections This Tests
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 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.
2.5 โ A Parallel Plate Capacitor With Air Between The Plates Has A
Physics Class 11 ยท Chapter 2
2.5 A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10โ12 F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
2.3 โ Two Charges 2 Mc And โ2 Mc Are Placed At Points A And B 6 Cm
Physics Class 11 ยท Chapter 2
2.3 Two charges 2 mC and โ2 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?
๐ Question Details
- Chapter
- 3D Geometry
- Topic
- Distance between parallel planes
- Year
- 2019
- Shift
- 10 Apr Shift 2
- Q Number
- Q88
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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