If arg⎛⎜⎜⎜⎝z1−z|z|z|z|⎞⎟⎟⎟⎠=π2 and ∣∣∣z|z – InterviewSolution

1.	If arg⎛⎜⎜⎜⎝z1−z\|z\|z\|z\|⎞⎟⎟⎟⎠=π2 and ∣∣∣z\|z\|−z1∣∣∣=3 then \|z1\|2 equals to
Answer» If $arg ⎛ ⎜⎜⎜ ⎝ \frac{z_{1} - \frac{z}{\| z \|}}{\frac{z}{\| z \|}} ⎞ ⎟⎟⎟ ⎠ = \frac{π}{2}$ and $∣ ∣ ∣ \frac{z}{\| z \|} - z_{1} ∣ ∣ ∣ = 3$ then $\| z_{1} \|^{2}$ equals to

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