Mathematics · 2020
JEE Main · 5 September 2020, Shift 1 · Q52
If the four complex numbers z, z̄, z̄-2 Re (z̄) and z -2 Re (z) represent the vertices of a square of side 4 units in the Argand plane, then |z| is…
If the four complex numbers $\displaystyle z, \bar{z}$, $\displaystyle \bar{z}-2 \operatorname{Re}(\bar{z})$ and z $\displaystyle -2 \operatorname{Re}(z)$ represent the vertices of a square of side $\displaystyle 4$ units in the Argand plane, then $\displaystyle |z|$ is equal to :
Official answer
(3)
$\displaystyle 2 \sqrt{2}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.