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Category: Coordinate Geometry

etude-complete-de-la-courbe-d-equation-polaire-r-1-sin-2-symetrie-et-trace-

Question Number 144900 by ArielVyny last updated on 30/Jun/21 $${etude}\:{complete}\:{de}\:{la}\:{courbe}\:{d}'{equation} \\ $$$${polaire}\:{r}=\frac{\mathrm{1}}{{sin}\left(\mathrm{2}\theta\right)}\:\:\:\:\left({symetrie}\:{et}\:{trace}\right) \\ $$$$ \\ $$ Answered by qaz last updated on 30/Jun/21 $$\mathrm{2rsin}\:\theta\mathrm{cos}\:\theta=\mathrm{1} \\…

Question-144210

Question Number 144210 by bramlexs22 last updated on 23/Jun/21 Answered by liberty last updated on 23/Jun/21 $$\mathrm{shaded}\:\mathrm{area}\:=\:\left(\frac{\mathrm{6}+\mathrm{2}}{\mathrm{2}}\right).\mathrm{4}\sqrt{\mathrm{3}}−\frac{\pi}{\mathrm{6}}.\mathrm{36}−\frac{\pi}{\mathrm{3}}.\mathrm{4} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\mathrm{16}\sqrt{\mathrm{3}}−\frac{\pi}{\mathrm{6}}\left(\mathrm{36}+\mathrm{8}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\mathrm{16}\sqrt{\mathrm{3}}−\frac{\mathrm{44}\pi}{\mathrm{6}}\:=\:\mathrm{16}\sqrt{\mathrm{3}}−\frac{\mathrm{22}\pi}{\mathrm{3}}\: \\ $$ Terms of…

Find-the-equations-of-the-circles-passing-through-4-3-and-touching-the-lines-x-y-2-and-x-y-2-

Question Number 144201 by bramlexs22 last updated on 23/Jun/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{equations}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circles} \\ $$$$\mathrm{passing}\:\mathrm{through}\:\left(−\mathrm{4},\mathrm{3}\right)\:\mathrm{and}\:\mathrm{touching} \\ $$$$\mathrm{the}\:\mathrm{lines}\:\mathrm{x}+\mathrm{y}=\mathrm{2}\:\mathrm{and}\:\mathrm{x}−\mathrm{y}=\mathrm{2} \\ $$ Answered by benjo_mathlover last updated on 23/Jun/21 $$\mathrm{let}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{circle}\:\mathrm{be}\: \\…

If-P-x-y-F-1-3-0-F-2-3-0-and-16x-2-25y-2-400-then-PF-1-PF-2-

Question Number 279 by amandeep last updated on 25/Jan/15 $$\mathrm{If}\:{P}\:\left({x},{y}\right),\:{F}_{\mathrm{1}} =\left(\mathrm{3},\mathrm{0}\right),\:{F}_{\mathrm{2}} =\left(−\mathrm{3},\mathrm{0}\right)\:\mathrm{and}\: \\ $$$$\mathrm{16}{x}^{\mathrm{2}} +\mathrm{25}{y}^{\mathrm{2}} =\mathrm{400}\:\mathrm{then}\:{PF}_{\mathrm{1}} +{PF}_{\mathrm{2}} =? \\ $$ Answered by 123456 last updated…

If-z-1-z-2-and-z-3-are-vertices-of-an-equilateral-traingle-inscribed-in-the-circle-z-2-and-if-z-1-1-i-3-then-find-the-value-of-z-2-and-z-3-

Question Number 229 by ssahoo last updated on 25/Jan/15 $$\mathrm{If}\:{z}_{\mathrm{1}} ,\:{z}_{\mathrm{2}} \:\mathrm{and}\:{z}_{\mathrm{3}} \:\mathrm{are}\:\mathrm{vertices}\:\mathrm{of}\:\mathrm{an}\:\mathrm{equilateral} \\ $$$$\mathrm{traingle}\:\mathrm{inscribed}\:\mathrm{in}\:\mathrm{the}\:\mathrm{circle}\:\mid{z}\mid=\mathrm{2}\:\mathrm{and}\:\mathrm{if} \\ $$$${z}_{\mathrm{1}} =\mathrm{1}+{i}\sqrt{\mathrm{3}},\:\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{z}_{\mathrm{2}} \:\mathrm{and}\:{z}_{\mathrm{3}} . \\ $$ Answered by 123456…