Category: Coordinate Geometry

Question Number 18823 by rish@bh last updated on 30/Jul/17 $$\mathrm{If}\mathrm{P}\equiv (2,1)\mathrm{and}\mathrm{A}\mathrm{and}\mathrm{B}\mathrm{lie}\mathrm{on}\mathrm{x}-\mathrm{axis}$$$$\mathrm{and}\mathrm{y}=\mathrm{x}\mathrm{respectively}\mathrm{such}\mathrm{that}$$$$\mathrm{PA}+\mathrm{PB}+\mathrm{AB}\mathrm{is}\mathrm{minimum}\mathrm{find}$$$$\mathrm{A}\mathrm{and}\mathrm{B}.$$ Commented by ajfour last updated on 30/Jul/17…

Question Number 18642 by tawa tawa last updated on 26/Jul/17 $$\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{region}\mathrm{bounded}\mathrm{by}\mathrm{coordinate}\mathrm{axis}\mathrm{and}\mathrm{the}\mathrm{line}$$$$\mathrm{tangent}\mathrm{to}\mathrm{the}\mathrm{graph},\mathrm{y}=\frac{1}{8}{\mathrm{x}}^2+\frac{1}{2}\mathrm{x}+1,\mathrm{at}\mathrm{the}\mathrm{point}(0,1)$$ Answered by Tinkutara last updated on 26/Jul/17 $$\frac{{dy}}{{dx}}\:=\:\frac{{x}}{\mathrm{4}}\:+\:\frac{\mathrm{1}}{\mathrm{2}} \…

Question Number 149634 by puissant last updated on 06/Aug/21 $$\mathrm{Trouver}\mathrm{toutes}\mathrm{les}\mathrm{fonctions}\mathrm{f}:\mathbb{N}\to {\mathbb{R}}^{+}$$$$\mathrm{telque}\mathrm{\forall }(\mathrm{a},\mathrm{b})\in \mathbb{N},$$$$\mathrm{f}({\mathrm{a}}^2+{\mathrm{b}}^2)=\mathrm{f}\left({\mathrm{a}}^2\right)+\mathrm{f}\left({\mathrm{b}}^2\right)\mathrm{et}\mathrm{f}\left(1\right)=1$$ Answered by Ar Brandon last…

Question Number 149428 by mr W last updated on 06/Aug/21 Commented by mr W last updated on 06/Aug/21 $$threenon-collinearpointsinspace$$$$aregivenwithcoordinates$$$${A}\left({x}_{\mathrm{1}} ,{y}_{\mathrm{1}} ,{z}_{\mathrm{1}}…

Question Number 148901 by mr W last updated on 01/Aug/21 Commented by Tawa11 last updated on 01/Aug/21 $$\mathrm{Weldone}\mathrm{sir}.$$ Commented by Tawa11 last updated…