Let the complex numbers | Complex Number | JEE MAIN 2024

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27-01-24 S2

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Let the complex numbers $\alpha$ and $\frac{1}{\bar{\alpha}}$ lie on the circles $\left|z-z_0\right|^2=4$ and $\left|z-z_0\right|^2=16$ respectively, where $\mathrm{z}_0=1+\mathrm{i}$. Then, the value of $100|\alpha|^2$ is

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