Q88.The plane which bisects the line segment joining the points (−3, −3, 4) and (3, 7, 6) at right angles, passes through which one of the following points? (1) (2, 1, 3) (2) (4, 1, −2) (3) (4, −1, 7) (4) (−2, 3, 5) y−5
What This Question Tests
This question requires finding the midpoint of a line segment and using the direction ratios of the segment as the normal vector to determine the equation of the perpendicular bisecting plane, then checking which point lies on it.
Concepts Tested
Formulas Used
Midpoint: ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2)
Normal vector: (x₂-x₁, y₂-y₁, z₂-z₁)
Equation of plane: A(x-x₀) + B(y-y₀) + C(z-z₀) = 0
📚 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?
4.4 — A Horizontal Overhead Power Line Carries A Current Of 90 A In East To
Physics Class 11 · Chapter 4
4.4 A horizontal overhead power line carries a current of 90 A in east to west direction. What is the magnitude and direction of the magnetic field due to the current 1.5 m below the line?
📋 Question Details
- Chapter
- 3D Geometry
- Topic
- Equation of a plane
- Year
- 2019
- Shift
- 10 Jan Shift 2
- Q Number
- Q88
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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