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let \(z_1,z_2\)and \(z_3\) be complex numbers such that: \(\begin{align} \overline{z_1}&=\dfrac{1}{z_1}\\ \overline{z_2}&=\dfrac{2}{z_2}\\ z_3&=z_1+z_2. \end{align}\). What is the product of the minimum and maximum possible values of \(|z_3|?\)

 Oct 22, 2022
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The answer is 3/4.

 Oct 22, 2022

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