Question Number 51263 by Tawa1 last updated on 25/Dec/18
$$\mathrm{If}\:\:\mathrm{P}\:=\:\mathrm{2}\:+\:\mathrm{j3}\:\mathrm{and}\:\mathrm{Q}\:=\:\mathrm{2}\:−\:\mathrm{j3}\:\mathrm{and}\:\mathrm{R}\:=\:\mathrm{j1} \\ $$$$\mathrm{Show}\:\mathrm{that}\:\:\mathrm{angle}\:\:\mathrm{PRQ}\:\mathrm{is}\:\mathrm{right}\:\mathrm{angle} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 25/Dec/18
$${P}\left(\mathrm{2},\mathrm{3}\right)\:\:\:{Q}\left(\mathrm{2},−\mathrm{3}\right)\:\:\:{R}\left(\mathrm{0},\mathrm{1}\right) \\ $$$${PQ}=\mathrm{6}\:\:\:\:{QR}=\sqrt{\mathrm{2}^{\mathrm{2}} +\left(−\mathrm{4}\right)^{\mathrm{2}} }\:=\sqrt{\mathrm{20}} \\ $$$${PR}=\sqrt{\mathrm{2}^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} }\:=\sqrt{\mathrm{8}}\: \\ $$$${QR}^{\mathrm{2}} +{PR}^{\mathrm{2}} \neq{PQ}^{\mathrm{2}} \\ $$$${pls}\:{check}\:{question}... \\ $$
Commented by Tawa1 last updated on 25/Dec/18
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir},\:\mathrm{i}\:\mathrm{understand} \\ $$