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Question Number 20934 by Tinkutara last updated on 08/Sep/17

$$\mathrm{If}z\mathrm{satisfies}\mid z-1\mid <\mid z+3\mid ,\mathrm{then}\omega =$$$$2z+3-i\mathrm{satisfies}$$$$\left(1\right)\mid \omega -5-i\mid <\mid \omega +3+i\mid$$$$\left(2\right)\mid \omega -5\mid <\mid \omega +3\mid$$$$\left(3\right)\mathrm{Im}\left(i\omega \right)>1$$$$\left(4\right)\mid \arg (\omega -1)\mid <\frac{\pi }{2}$$

Commented by Tinkutara last updated on 10/Sep/17

$$\mathrm{help}\mathrm{pls}$$

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