Q78.The line ๐1 passes through the point 2, 6, 2 and is perpendicular to the plane 2๐ฅ+ ๐ฆ- 2๐ง= 10. Then the ๐ฅ+ 1 ๐ฆ+ 4 ๐ง shortest distance between the line ๐1 and the line 2 = -3 = 2 is: (1) 7 (2) 19 3 19 (3) (4) 9 2
What This Question Tests
The problem requires finding the equation of the first line from a given point and a perpendicular plane, then calculating the shortest distance between this line and another given line.
Concepts Tested
Formulas Used
Line: r = a + t*b
Shortest distance = |(a2-a1).(b1xb2)| / |b1xb2|
๐ NCERT Sections This Tests
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 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.
2.5 โ A Parallel Plate Capacitor With Air Between The Plates Has A
Physics Class 11 ยท Chapter 2
2.5 A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10โ12 F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
4.7 โ Two Long And Parallel Straight Wires A And B Carrying Currents Of
Physics Class 11 ยท Chapter 4
4.7 Two long and parallel straight wires A and B carrying currents of 8.0 A and 5.0 A in the same direction are separated by a distance of 4.0 cm. Estimate the force on a 10 cm section of wire A.
๐ Question Details
- Chapter
- 3D Geometry
- Topic
- Shortest distance between two skew lines
- Year
- 2023
- Shift
- 30 Jan Shift 1
- Q Number
- Q78
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: Three Dimensional Geometry
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