Category: Coordinate Geometry

Question Number 76252 by necxxx last updated on 25/Dec/19 $$Atrianglehasanareaof20square$$$$unitsandtwoverticesare(3,4)and(2,7).$$$$Whatisthepositionofthethirdvertex?$$ Commented by MJS last updated on 25/Dec/19 $$\mathrm{in}\:\mathrm{words}:\:\mathrm{we}\:\mathrm{know}\:\mathrm{the}\:\mathrm{area}=\frac{\mathrm{side}×\mathrm{height}}{\mathrm{2}} \…

Question Number 10656 by okhema last updated on 22/Feb/17 $$findtheequationofthecirclewithdiameterABwhereAisat(2,4)andBisat(-1,6)$$ Answered by FilupS last updated on 22/Feb/17 $$\mathrm{circle}\mathrm{centred}\mathrm{at}(a,b)\mathrm{with}\mathrm{radius}r$$$$r=\frac{1}{2}AB$$$$\left({a},\:{b}\right)\:\mathrm{is}\:\mathrm{half}\:\mathrm{way}\:\mathrm{between}\:{A}\:\mathrm{and}\:{B} \…

Question Number 10129 by Tawakalitu ayo mi last updated on 26/Jan/17 $$\mathrm{Write}\mathrm{in}\mathrm{polar}\mathrm{form}.$$$$\left(1\right)3\mathrm{x}-\mathrm{y}+5=0$$$$\left(2\right){\mathrm{x}}^2=\sqrt{{\mathrm{x}}^2+{\mathrm{y}}^2}$$ Answered by icyfalcon999 last…

Question Number 75580 by lalitchand last updated on 13/Dec/19 $$\mathrm{Define}\mathrm{the}\mathrm{inversion}\mathrm{transformation}$$$$\mathrm{of}\mathrm{Z}=\mathrm{a}+\mathrm{ib}\mathrm{where}\mathrm{i}\mathrm{is}\mathrm{imaginary}\mathrm{line}$$$$\mathrm{passing}\mathrm{through}\mathrm{the}\mathrm{circle}\mathrm{of}\mathrm{inversion}.$$ Commented by MJS last updated on 13/Dec/19 $$\mathrm{it}'\mathrm{s}\:\mathrm{not}\:\mathrm{clear}.\:\mathrm{i}\:\mathrm{is}\:\mathrm{an}\:\mathrm{imaginary}\:\mathrm{line}? \…

Question Number 9731 by tawakalitu last updated on 29/Dec/16 $$\mathrm{Find}\mathrm{the}\mathrm{asymptotes}\mathrm{of}\mathrm{the}\mathrm{hypebola}\mathrm{whose}$$$$\mathrm{equation}\mathrm{is}\mathrm{given}\mathrm{by}.$$$$\frac{\mathrm{x}}{24}-\frac{\mathrm{y}}{29}=1$$ Commented by geovane10math last updated on 29/Dec/16 $$\frac{\mathrm{29}{x}\:−\:\mathrm{24}{y}}{\mathrm{696}}\:=\:\mathrm{1} \…