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Question 37
For a complex number z, let Re(z) denote the real part of z. Let ๐ be the set of all complex numbers z satisfying $$z^4 โ \mid z\mid^4 = 4 ๐ z^2$$, where $$i = \sqrt{โ1}$$. Then the minimum possible value of $$\mid z_1 โ z_2\mid^2$$, where $$z_1, z_2 \in S$$ with $$Re(z_1) > 0$$ and $$Re(z_2) < 0$$, is _____
Correct Answer: e
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