Q62.For ๐โ๐, let ๐๐= ๐งโ๐ถ: ๐ง- 3 + 2๐= ๐ and ๐๐= ๐งโ๐ถ: ๐ง- 2 + 3๐= 1 Then the number of elements in the 4 ๐. set ๐โ๐: ๐๐โฉ๐๐= ๐ is (1) 0 (2) 2 (3) 3 (4) 4
What This Question Tests
This question tests the geometric interpretation of complex numbers as circles and the conditions for two circles to not intersect. It requires careful application of distance formula and inequalities for radii.
Concepts Tested
Formulas Used
|z - zโ| = r
Distance between (xโ, yโ) and (xโ, yโ) = sqrt((xโ-xโ)ยฒ + (yโ-yโ)ยฒ)
Circles Sโ and Sโ do not intersect if d > rโ + rโ or d < |rโ - rโ|
๐ NCERT Sections This Tests
5.11 โ Draw All The Isomers (Geometrical And Optical) Of:
Chemistry Class 11 ยท Chapter 5
5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
5.12 โ Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 ยท Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
5.28 โ How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?
Chemistry Class 11 ยท Chapter 5
5.28 How many ions are produced from the complex Co(NH3)6Cl2 in solution? (i) 6 (ii) 4 (iii) 3 (iv) 2 139 Coordination Compounds Reprint 2025-26
๐ Question Details
- Chapter
- Complex Numbers
- Topic
- Geometric representation of complex numbers
- Year
- 2022
- Shift
- 25 Jul Shift 1
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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