Complex Numbers and Quadratic Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 5 Sep, Morning shift · Q3183

JEE Main 20205 Sep, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

If the four complex numbers

z,\overline z ,\overline z - 2{\mathop{\rm Re}\nolimits} \left( {\overline z } \right)

and

z-2Re(z)

represent the vertices of a square of side 4 units in the Argand plane, then

|z|

is equal to :

JEE Main 2020 · 5 Sep, Morning shift · Q3183

JEE Main 20205 Sep, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

If the four complex numbers

z,\overline z ,\overline z - 2{\mathop{\rm Re}\nolimits} \left( {\overline z } \right)

and

z-2Re(z)

represent the vertices of a square of side 4 units in the Argand plane, then

|z|

is equal to :

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