Q61.Let S1, S2 and S3 be three sets defined as : z −1 S1 = ≤√2}, {z ∈C S2 = {z ∈C : Re((1 −i)z) ≥1} and S3 = {z ∈C : Im(z) ≤1}. Then, the set S1 ∩S2 ∩S3 (1) is a singleton (2) has exactly two elements (3) has infinitely many elements (4) has exactly three elements
What This Question Tests
This question tests the ability to interpret inequalities involving complex numbers as regions in the Argand plane and find their intersection. It requires understanding the geometric representation of a disk and half-planes.
Concepts Tested
Formulas Used
|z-z0| <= r represents a disk
Re(z) = x, Im(z) = y for z = x+iy
📚 NCERT Sections This Tests
5.28 — How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?
Chemistry Class 11 · 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
5.11 — Draw All The Isomers (Geometrical And Optical) Of:
Chemistry Class 11 · 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 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Geometric representation of complex numbers
- Year
- 2021
- Shift
- 17 Mar Shift 2
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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