If the four complex numbers z, z , z z – 2Re( ) and z z – 2Re( ) represent the vertices of a square of side 4 units in the Argand plane, then |z| is equal to :

Question:
If the four complex numbers $z, \bar{z}, \bar{z}-2 \operatorname{Re}(\bar{z})$ and $z-2 \operatorname{Re}(z)$ represent the vertices of a square of side 4 units in the Argand plane, then $|z|$ is equal to :

$4 \sqrt{2}$
4
$2 \sqrt{2}$
2

Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.

JEE Main Previous Year Sep. 05, 2020 (I)

Solution:

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