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Question Number 19741 by Tinkutara last updated on 15/Aug/17

If z = x + iy and arg(((z − 2)/(z + 2))) = (π/6), then  find the locus of z.

$$\mathrm{If}\:{z}\:=\:{x}\:+\:{iy}\:\mathrm{and}\:\mathrm{arg}\left(\frac{{z}\:−\:\mathrm{2}}{{z}\:+\:\mathrm{2}}\right)\:=\:\frac{\pi}{\mathrm{6}},\:\mathrm{then} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{locus}\:\mathrm{of}\:{z}. \\ $$

Commented by Tinkutara last updated on 15/Aug/17

I found the correct equation but in book  “major arc” is written along with that  equation. What does it mean?

$$\mathrm{I}\:\mathrm{found}\:\mathrm{the}\:\mathrm{correct}\:\mathrm{equation}\:\mathrm{but}\:\mathrm{in}\:\mathrm{book} \\ $$$$``\mathrm{major}\:\mathrm{arc}''\:\mathrm{is}\:\mathrm{written}\:\mathrm{along}\:\mathrm{with}\:\mathrm{that} \\ $$$$\mathrm{equation}.\:\mathrm{What}\:\mathrm{does}\:\mathrm{it}\:\mathrm{mean}? \\ $$

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