Q80.The probability that a randomly selected 2− digit number belongs to the set {n ∈N : (2n −2) is a multiple of 3} is equal to (1) 1 (2) 2 6 3 (3) 1 (4) 1 2 3
What This Question Tests
The problem tests the ability to find the equation of a plane given a point it passes through and the condition that it is perpendicular to two other planes, which involves using the cross product of normal vectors.
Concepts Tested
Formulas Used
Normal to plane n₁x + n₂y + n₃z = d is (n₁, n₂, n₃)
Normal to plane perpendicular to two planes is n₁ × n₂
Equation of plane a(x-x₁) + b(y-y₁) + c(z-z₁) = 0
📚 NCERT Sections This Tests
1.14 — Consider A Uniform Electric Field E = 3 × 103 Î N/C. (A) What Is The
Physics Class 11 · Chapter 1
1.14 Consider a uniform electric field E = 3 × 103 î N/C. (a) What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane? (b) What is the flux through the same square if the normal to its plane makes a 60° angle with the x-axis?
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
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?
📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Equation of a plane
- Year
- 2021
- Shift
- 27 Jul Shift 1
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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