Q87.Let the plane containing the line of intersection of the planes P1 : x + (λ + 4)y + z = 1 and P2 : 2x + y + z = 2 pass through the points (0, 1, 0) and (1, 0, 1) . Then the distance of the point (2λ, λ, −λ) from the plane P2 is (1) 5√6 (2) 4√6 (3) 2√6 (4) 3√6
What This Question Tests
This question tests the ability to find the equation of a plane passing through the intersection of two given planes and specified points, and then calculate the distance of a point from one of the planes.
Concepts Tested
Formulas Used
P1 + λP2 = 0 (Equation of plane through intersection of two planes)
Distance of (x₀, y₀, z₀) from Ax+By+Cz+D=0 is |Ax₀+By₀+Cz₀+D|/√(A²+B²+C²)
📚 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.
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.
📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Planes
- Year
- 2023
- Shift
- 24 Jan Shift 2
- Q Number
- Q87
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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