Category: Geometry

Question Number 126609 by abdullahquwatan last updated on 22/Dec/20 $$\mathrm{cube}\mathrm{ABCD}.\mathrm{EFGH}side4cmpointPiscenterBFandQcenterAD.distanceEtoPQG$$ Answered by liberty last updated on 22/Dec/20 $$theequationofplanepassestrought$$$$P(4,4,2),Q(2,0,0),G(0,4,4)$$$$\Rightarrow\:$$\left|\begin{array}{c}x-2yz\\ -244\\ 242\end{array}\right|$$=\:\mathrm{0} \…

Question Number 60987 by ajfour last updated on 28/May/19 Commented by ajfour last updated on 28/May/19 $$Findtheilluminatedareaof$$$$theinnercurvedsurfaceof$$$$shown,hollowopencylinder.$$$$[wherea>2R(\frac{H}{h}-1)]$$…

Question Number 192001 by ajfour last updated on 05/May/23 Commented by ajfour last updated on 05/May/23 $$Findx,intermsofa,b,m=\tan \theta .$$ Answered by ajfour last updated on…

Question Number 191962 by ajfour last updated on 04/May/23 Answered by mr W last updated on 04/May/23 $$\left[\sqrt{\left({a}+{x}\right)^{\mathrm{2}} −\left({a}−{x}\right)^{\mathrm{2}} }−\sqrt{\left({a}+{b}\right)^{\mathrm{2}} −\left({a}−{b}\right)^{\mathrm{2}} }\right]^{\mathrm{2}} =\left({b}+{x}\right)^{\mathrm{2}} −\left(\mathrm{2}{a}−{b}−{x}\right)^{\mathrm{2}} \…

Question Number 191873 by cherokeesay last updated on 02/May/23 Answered by mehdee42 last updated on 03/May/23 $$let:\mathrm{\angle }RPS=p_1\mathrm{\&}\mathrm{\angle }QPS=p_2$$$$p_1=45-x,p_2=135-3x$$$$\frac{{PS}}{{QS}}=\frac{{sin}\mathrm{3}{x}}{{sinp}_{\mathrm{2}} }=\frac{{sinx}}{{sinp}_{\mathrm{1}}…