Q89.The square of the distance of the point of intersection of the line x−1 2 = y−23 = z+16 and the plane 2 x −y + z = 6 from the point (−1, −1, 2) is
What This Question Tests
This question tests the ability to find the point of intersection of a line and a plane in 3D, and then calculate the squared distance of this point from another given point.
Concepts Tested
Formulas Used
(x-x1)/a = (y-y1)/b = (z-z1)/c = λ
Distance formula d^2 = (x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2
📚 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?
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
- Intersection of line and plane
- Year
- 2021
- Shift
- 31 Aug Shift 1
- Q Number
- Q89
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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