Category: Coordinate Geometry

Question Number 44801 by ajfour last updated on 04/Oct/18 Commented by ajfour last updated on 04/Oct/18 $$Equationofellipse:\frac{x^2}{a^2}+\frac{y^2}{b^2}=1,$$$$findradius\mathit{r}ofcircle.$$…

Question Number 175608 by ajfour last updated on 03/Sep/22 Commented by ajfour last updated on 04/Sep/22 $$yessir.$$ Commented by mr W last updated…

Question Number 44480 by peter frank last updated on 29/Sep/18 $$provethat\frac{9\pi }{8}-\frac{9}{4}{\sin }^{-1}\frac{1}{3}=\frac{9}{4}{\sin }^{-1}\frac{2\sqrt{2}}{3}$$ Answered by math1967 last updated on 30/Sep/18 $${L}.{H}.{S}=\frac{\mathrm{9}}{\mathrm{4}}\left(\frac{\pi}{\mathrm{2}}−\mathrm{sin}^{−\mathrm{1}} \frac{\mathrm{1}}{\mathrm{3}}\right) \…

Question Number 175237 by nadovic last updated on 24/Aug/22 $$\mathrm{The}\mathrm{equations}\mathrm{of}\mathrm{the}\mathrm{sides}\mathrm{AC},\mathrm{BC}$$$$\mathrm{and}\mathrm{AB}\mathrm{of}\mathrm{a}\mathrm{right}-\mathrm{angled}\mathrm{triangled}$$$$\mathrm{with}\mathrm{lengths}a,b\mathrm{and}c\mathrm{are}y=-7,$$$$x=11\mathrm{and}4x-3y-5=0\mathrm{respectively}.$$$$\mathrm{Find}\mathrm{the}\mathrm{equation}\mathrm{of}\mathrm{the}\mathrm{inscribed}$$$$\mathrm{circle}\mathrm{of}\mathrm{the}\mathrm{triangle},\mathrm{if}\mathrm{its}\mathrm{radius}r,$$$$\mathrm{is}\mathrm{given}\mathrm{by}r=\frac{a+b-c}{2}.$$ Terms…

Question Number 44096 by peter frank last updated on 21/Sep/18 Answered by $@ty@mlastupdatedon21/Sep/18$$\left(a\right)\cos A=\frac{b^2+c^2-a^2}{2bc}$$$${a}^{\mathrm{2}} ={b}^{\mathrm{2}} +{c}^{\mathrm{2}}…