Category: Coordinate Geometry

Question Number 150862 by alcohol last updated on 16/Aug/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 150793 by cherokeesay last updated on 15/Aug/21 $${(R-r)}^2+R^2={(R+r)}^2\iff$$$$R^2+r^2-2rR+R^2=R^2+r^2+2rR\Rightarrow$$$$R^2=4rR\Rightarrow r=\frac{R}{4}=1cm$$$$\mathscr{A}_{{S}}…

Question Number 150738 by nadovic last updated on 15/Aug/21 $$\mathrm{A}\mathrm{point}\mathrm{P}(x,y)\mathrm{moves}\mathrm{such}\mathrm{that}\mathrm{its}$$$$\mathrm{perpendicular}\mathrm{distance}\mathrm{from}\mathrm{the}\mathrm{line}$$$$12x+5y-1=0\mathrm{is}\mathrm{always}3units.$$$$\mathrm{Find}\mathrm{the}\mathrm{equation}\mathrm{that}\mathrm{describes}\mathrm{the}$$$$\mathrm{locus}\mathrm{precisely}.$$ Commented by nadovic last updated…

Question Number 150363 by ajfour last updated on 11/Aug/21 Commented by ajfour last updated on 11/Aug/21 $$Ifthereisequallengthin$$$$betweenconsecutiveblack$$$$dots,findequationofsuch$$$$line.$$…

Question Number 19021 by ajfour last updated on 03/Aug/17 Commented by ajfour last updated on 03/Aug/17 $$\mathrm{If}\varphi ={\tan }^{-1}\left[(\sqrt{2}-1)\cot \theta \right]+\theta$$$$\Rightarrow \tan (\varphi -\theta )=(\sqrt{2}-1)\cot \theta$$$$\frac{\tan \varphi -\tan \theta }{1+\tan \varphi \tan \theta }=\frac{\cot \theta }{\sqrt{2}+1}$$$$\Rightarrow\:\left(\sqrt{\mathrm{2}}+\mathrm{1}\right)\:\left(\mathrm{tan}\:\phi−\mathrm{tan}\:\theta\right) \…