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Category: Geometry

Question-10435

Question Number 10435 by Joel575 last updated on 09/Feb/17 Commented by Joel575 last updated on 09/Feb/17 $$\mathrm{The}\:\mathrm{side}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{square}\:\mathrm{is}\:\mathrm{1}\:\mathrm{cm}. \\ $$$$\mathrm{5}\:\mathrm{circles}\:\mathrm{have}\:\mathrm{same}\:\mathrm{radius}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle}'\mathrm{s}\:\mathrm{radius}? \\ $$ Answered by…

good-morning-we-have-f-x-x-2-2x-g-x-2x-2-3x-2-and-d-m-mx-2m-1-determine-the-coordonate-of-M-1-and-M-2-intersection-points-respectively-of-Cf-and-d-m-or-Cg-and-d-m-

Question Number 10426 by JAZAR last updated on 10/Feb/17 $${good}\:{morning}!!!! \\ $$$${we}\:{have}\:\:{f}\left({x}\right)={x}^{\mathrm{2}} +\mathrm{2}{x}\:\:\:{g}\left({x}\right)=−\mathrm{2}{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2} \\ $$$${and}\:{d}\left({m}\right)={mx}+\mathrm{2}{m} \\ $$$$\left.\mathrm{1}\right){determine}\:{the}\:{coordonate}\:{of}\:{M}_{\mathrm{1}} \:{and}\:{M}_{\mathrm{2}} \: \\ $$$${intersection}\:{points}\:{respectively}\:{of}\:\left({Cf}\right)\:{and}\:{d}\left({m}\right) \\ $$$${or}\left({Cg}\right)\:{and}\:{d}\left({m}\right) \\…

find-all-the-possible-values-of-cos-such-that-2cot-2-cos-0-

Question Number 10415 by okhema francis last updated on 08/Feb/17 $${find}\:{all}\:{the}\:{possible}\:{values}\:{of}\:\mathrm{cos}\:\theta\:{such}\:{that}\:\mathrm{2cot}\:^{\mathrm{2}} \theta\:+\:\mathrm{cos}\:\theta=\mathrm{0} \\ $$$$ \\ $$ Answered by bansal22luvi@gmail.com last updated on 08/Feb/17 $$\mathrm{2}\left(\frac{\mathrm{cos}^{\mathrm{2}} \theta}{\mathrm{sin}^{\mathrm{2}}…

In-a-AB-C-a-b-c-2-h-a-h-b-h-c-a-2-b-2-c-2-6abc-h-a-2-h-b-2-h-c-2-6h-a-h-b-h-c-find-A-

Question Number 75849 by behi83417@gmail.com last updated on 18/Dec/19 $$\boldsymbol{\mathrm{In}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{A}}\overset{\bigtriangleup} {\boldsymbol{\mathrm{B}C}}: \\ $$$$\begin{cases}{\boldsymbol{\mathrm{a}}+\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}=\mathrm{2}\left(\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{a}}} +\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{b}}} +\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{c}}} \right)}\\{\boldsymbol{\mathrm{a}}^{\mathrm{2}} +\boldsymbol{\mathrm{b}}^{\mathrm{2}} +\boldsymbol{\mathrm{c}}^{\mathrm{2}} =\mathrm{6}\boldsymbol{\mathrm{abc}}}\\{\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{a}}} ^{\mathrm{2}} +\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{b}}} ^{\mathrm{2}} +\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{c}}} ^{\mathrm{2}} =\mathrm{6}\boldsymbol{\mathrm{h}}_{\boldsymbol{\mathrm{a}}}…

solve-simultaneously-m-4-n-4-9m-2-n-2-1-i-m-n-4-ii-

Question Number 10222 by Tawakalitu ayo mi last updated on 30/Jan/17 $$\mathrm{solve}\:\mathrm{simultaneously}. \\ $$$$\mathrm{m}^{\mathrm{4}} \:+\:\mathrm{n}^{\mathrm{4}} \:=\:\mathrm{9m}^{\mathrm{2}} \mathrm{n}^{\mathrm{2}} \:+\:\mathrm{1}\:\:\:\:\:\:\:……\:\left(\mathrm{i}\right) \\ $$$$\mathrm{m}\:+\:\mathrm{n}\:=\:\mathrm{4}\:……..\:\left(\mathrm{ii}\right) \\ $$ Commented by prakash…

Question-141291

Question Number 141291 by mr W last updated on 17/May/21 Commented by mr W last updated on 17/May/21 $${OB}=\sqrt{\left({R}−{r}\right)^{\mathrm{2}} −{r}^{\mathrm{2}} }=\sqrt{{R}^{\mathrm{2}} −\mathrm{2}{Rr}} \\ $$$${AB}={R}+\sqrt{{R}^{\mathrm{2}} −\mathrm{2}{Rr}}=\frac{{r}}{\mathrm{tan}\:\mathrm{22}.\mathrm{5}°}…