Question Number 136604 by bemath last updated on 23/Mar/21 $$ \\ $$What is the equation of a tangent to a circle whose equation is x^2+y^2−2x−4y=1 at point (1+√5,3)…
Question Number 70949 by ajfour last updated on 10/Oct/19 Commented by ajfour last updated on 10/Oct/19 $${For}\:{coordinate}\:{geometry}\:{experts}! \\ $$ Commented by ajfour last updated on…
Question Number 136293 by mr W last updated on 20/Mar/21 $${the}\:{sides}\:{of}\:{a}\:{triangle}\:{are}\:\mathrm{5},\mathrm{7},\mathrm{10}\:{cm}. \\ $$$$\left.\mathrm{1}\right)\:{find}\:{the}\:{largest}\:{equilateral}\:{triangle} \\ $$$${which}\:{circumscribes}\:{the}\:{given}\:{triangle}. \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{smallest}\:{equilateral}\:{triangle} \\ $$$${which}\:{inscribes}\:{the}\:{given}\:{triangle}. \\ $$ Commented by mr W…
Question Number 70738 by ajfour last updated on 07/Oct/19 Commented by ajfour last updated on 07/Oct/19 $${Find}\:\:\frac{{R}}{{a}}\:\centerdot \\ $$ Commented by ajfour last updated on…
Question Number 136165 by bramlexs22 last updated on 19/Mar/21 $${Find}\:{the}\:{equation}\:{of}\:{ellipse}\:{with} \\ $$$${F}_{\mathrm{1}} \left(\mathrm{1},\mathrm{2}\right)\:,\:{F}_{\mathrm{2}} \left(\mathrm{3},\mathrm{4}\right)\:{and}\:\mathrm{2}{a}\:=\:\mathrm{2}\sqrt{\mathrm{3}} \\ $$ Commented by bramlexs22 last updated on 19/Mar/21 $${Dear}\:{Mr}\:{W}\:{can}\:{you}\:{help}\:{me} \\…
Question Number 135931 by Engr_Jidda last updated on 17/Mar/21 $${find}\:{the}\:{volume}\:{of}\:{the}\:{solid}\:{on}\:{the}\:{closed} \\ $$$${region}\:\mathrm{0}\leqslant{x}\leqslant\mathrm{1}\:{and}\:\mathrm{0}\leqslant{y}\leqslant\mathrm{1}\:{under}\:{the} \\ $$$${surface}\:{Z}=\mathrm{5}−{x}−\mathrm{2}{y} \\ $$ Answered by dhgt last updated on 04/May/21 Terms of…
Question Number 4752 by Yozzii last updated on 04/Mar/16 $${For}\:\mathrm{0}\leqslant{x},{y},{z}\leqslant\mathrm{1}\:{solve}\:{the}\:{equation} \\ $$$$\frac{{x}}{\mathrm{1}+{y}+{zx}}+\frac{{y}}{\mathrm{1}+{z}+{xy}}+\frac{{z}}{\mathrm{1}+{x}+{yz}}=\frac{\mathrm{3}}{{x}+{y}+{z}}. \\ $$ Commented by prakash jain last updated on 05/Mar/16 $$\mathrm{trivial}\:\mathrm{solution}\:\mathrm{is}\:{x}={y}={z}=\mathrm{1} \\ $$$$\mathrm{Other}\:\mathrm{solution}\:\mathrm{to}\:\mathrm{be}\:\mathrm{worked}.…
Question Number 135816 by ShiimiGee last updated on 16/Mar/21 Commented by ShiimiGee last updated on 16/Mar/21 $$ \\ $$ Commented by liberty last updated on…
Question Number 135800 by benjo_mathlover last updated on 16/Mar/21 Answered by Olaf last updated on 16/Mar/21 $$\mathrm{A}\begin{pmatrix}{−\mathrm{1}}\\{−\mathrm{1}}\\{−\mathrm{1}}\end{pmatrix}\:\mathrm{B}\begin{pmatrix}{\mathrm{1}}\\{\mathrm{1}}\\{\mathrm{1}}\end{pmatrix}\:\mathrm{C}\begin{pmatrix}{\mathrm{1}}\\{−\mathrm{1}}\\{−\mathrm{1}}\end{pmatrix}\:\mathrm{D}\begin{pmatrix}{−\mathrm{1}}\\{\mathrm{1}}\\{\mathrm{1}}\end{pmatrix} \\ $$$$\mathrm{AB}\:\mathrm{and}\:\mathrm{CD}\:\mathrm{are}\:\mathrm{two}\:\mathrm{diagonals} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{cube} \\ $$$$\overset{\rightarrow} {\mathrm{AB}}\:=\:\begin{pmatrix}{\mathrm{2}}\\{\mathrm{2}}\\{\mathrm{2}}\end{pmatrix}\:\overset{\rightarrow} {\mathrm{CD}}\:=\:\begin{pmatrix}{−\mathrm{2}}\\{\mathrm{2}}\\{\mathrm{2}}\end{pmatrix}…
Question Number 4317 by shiv009 last updated on 10/Jan/16 Commented by prakash jain last updated on 10/Jan/16 $$\mathrm{Vertices}\:\mathrm{of}\:\mathrm{triangle}\:\left(\mathrm{1},\mathrm{3}\right),\:\left(\mathrm{4},−\mathrm{1}\right)\: \\ $$$$\mathrm{area}\:\mathrm{5}.\:\mathrm{Find}\:\mathrm{position}\:\mathrm{of}\:\mathrm{3}^{\mathrm{rd}} \mathrm{vertex}. \\ $$$$\left(\mathrm{0},\:\mathrm{2tan}^{−\mathrm{1}} \frac{\mathrm{5}}{\mathrm{4}}\right) \\…