Q53.If z is a complex number satisfying |Re(z)| + |Im(z)| = 4, then |z| cannot be (1) √172 (2) √10 (3) √7 (4) √8
What This Question Tests
This question tests the geometric interpretation of complex numbers satisfying the condition |Re(z)| + |Im(z)| = 4, which forms a square, and then finding the range of the modulus |z| for points on this locus.
Concepts Tested
Formulas Used
|z| = √(x^2 + y^2)
|x| + |y| = k (equation of a square)
📚 NCERT Sections This Tests
5.16 — Draw Figure To Show The Splitting Of D Orbitals In An Octahedral Crystal Field.
Chemistry Class 11 · Chapter 5
5.16 Draw figure to show the splitting of d orbitals in an octahedral crystal field.
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
- Modulus of a complex number, Geometric representation of complex numbers
- Year
- 2020
- Shift
- 09 Jan Shift 2
- Q Number
- Q53
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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