Question Number 19741 by Tinkutara last updated on 15/Aug/17
$$\mathrm{If}\:{z}\:=\:{x}\:+\:{iy}\:\mathrm{and}\:\mathrm{arg}\left(\frac{{z}\:−\:\mathrm{2}}{{z}\:+\:\mathrm{2}}\right)\:=\:\frac{\pi}{\mathrm{6}},\:\mathrm{then} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{locus}\:\mathrm{of}\:{z}. \\ $$
Commented by Tinkutara last updated on 15/Aug/17
$$\mathrm{I}\:\mathrm{found}\:\mathrm{the}\:\mathrm{correct}\:\mathrm{equation}\:\mathrm{but}\:\mathrm{in}\:\mathrm{book} \\ $$$$“\mathrm{major}\:\mathrm{arc}''\:\mathrm{is}\:\mathrm{written}\:\mathrm{along}\:\mathrm{with}\:\mathrm{that} \\ $$$$\mathrm{equation}.\:\mathrm{What}\:\mathrm{does}\:\mathrm{it}\:\mathrm{mean}? \\ $$