Q62.For all complex numbers z of the form 1 + iα, α ∈R, if z2 = x + iy, then (1) y2 −4x + 4 = 0 (2) y2 + 4x −4 = 0 (3) y2 −4x + 2 = 0 (4) y2 + 4x + 2 = 0
What This Question Tests
This question tests the ability to perform basic algebraic operations with complex numbers, identify the real and imaginary parts of a complex number, and then find the locus by eliminating the parameter.
Concepts Tested
Formulas Used
(a+ib)² = a² - b² + 2iab
📚 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
5.12 — 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?
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)]+
📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Algebra of complex numbers, locus
- Year
- 2014
- Shift
- 19 Apr Online
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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