For a complex number z, let Re(z) denote the real part of z. Let S be the set of all complex numbersz satisfying z^4 – |z |^4 = 4i z^2 , where i=\sqrt{- 1} Then the minimum possible value of |z_1 -z_2|^2 , where z_1, z_2 \inS with \Re(z_1) > 0 and \Re(z_2) < 0 , is _____. [JEE Adv 2020 P2]

Complex Numbers

Section: Mathematics

Question : 12 of 36

Marks: +1, -0

For a complex number z, let Re(z) denote the real part of z. Let S be the set of all complex numbersz satisfying z4–|z|4=4iz2 , where i=√−1 Then the minimum possible value of |z1−z2|2
, where z1,z2∈S with Re(z1)>0 and Re(z2)<0 , is _____.

[JEE Adv 2020 P2]

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