Q88.A plane P contains the line of intersection of the plane →r⋅(ˆi + ˆj + ˆk) = 6 and →r⋅(2ˆi + 3ˆj + 4ˆk) passes through the point (0, 2, −2),then the square of distance of the point (12, 12, 18) from the plane P is (1) 620 (2) 155 (3) 310 (4) 1240
What This Question Tests
This question tests the ability to find the equation of a plane containing the line of intersection of two other planes and passing through a given point, then calculate the distance from another point to this plane.
Concepts Tested
Formulas Used
P1 + λP2 = 0
Distance = |Ax0+By0+Cz0+D| / sqrt(A^2+B^2+C^2)
📚 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?
1.18 — A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 · Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
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 in 3D
- Year
- 2023
- Shift
- 06 Apr Shift 2
- Q Number
- Q88
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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