Q81.The sum of the square of the modulus of the elements in the set {z = a + ib : a, b ∈Z, z ∈C, |z −1| ≤1, |z −5| ≤|z −5i|} is ________
What This Question Tests
This question tests the ability to apply the formula for the shortest distance between two skew lines, which involves identifying position vectors and direction vectors of the lines.
Concepts Tested
Formulas Used
Shortest distance = |(→a2 - →a1) ⋅ (→b1 x →b2)| / |→b1 x →b2|
Vector form of line: →r = →a + λ→b
📚 NCERT Sections This Tests
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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.
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5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
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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
- Shortest distance between skew lines
- Year
- 2024
- Shift
- 09 Apr Shift 1
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 11: 3D Geometry
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