Q52.If the four complex numbers z, z, z −2 Re (z) and z −2 Re (z) represent the vertices of a square of side 4 units in the Argand plane, then |z| is equal to : (1) 4√2 (2) 4 (3) 2√2 (4) 2
What This Question Tests
The question requires interpreting complex numbers geometrically on the Argand plane, identifying the coordinates of the vertices of a square, and then using its side length to find the modulus of the complex number.
Concepts Tested
Formulas Used
z = x + iy
z̄ = x - iy
Re(z) = x
|z| = √(x^2 + y^2)
Distance formula in Cartesian plane
📚 NCERT Sections This Tests
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)]+
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
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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
- 2020
- Shift
- 05 Sep Shift 1
- Q Number
- Q52
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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