Q61.If S = z ∈C : |z −i| = |z + i| = |z −1|, then, n(S) is: (1) 1 (2) 0 (3) 3 (4) 2
What This Question Tests
This question tests the geometric interpretation of the modulus of complex numbers to find the number of points (complex numbers) equidistant from three given points, which represents the intersection of three perpendicular bisectors.
Concepts Tested
Formulas Used
|z - z1| = |z - z2|
📚 NCERT Sections This Tests
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
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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?
5.11 — Draw All The Isomers (Geometrical And Optical) Of:
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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)]+
5.28 — How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?
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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
📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Geometric interpretation of complex numbers
- Year
- 2024
- Shift
- 27 Jan Shift 1
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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