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Category: Geometry

3x-3y-2z-1-x-2y-4-10y-3z-2-2x-3y-z-5-

Question Number 8933 by Hariom maurya last updated on 06/Nov/16 $$\mathrm{3x}+\mathrm{3y}+\mathrm{2z}=\mathrm{1},\mathrm{x}+\mathrm{2y}=\mathrm{4},\mathrm{10y}+\mathrm{3z}=−\mathrm{2}, \\ $$$$\mathrm{2x}−\mathrm{3y}−\mathrm{z}=\mathrm{5} \\ $$ Answered by Rasheed Soomro last updated on 06/Nov/16 $$\mathrm{3x}+\mathrm{3y}+\mathrm{2z}=\mathrm{1}………….\left(\mathrm{i}\right) \\…

Proposed-by-Rasheed-Soomro-What-will-be-possible-minimum-area-of-a-quadrilateral-whose-all-the-sides-touch-a-circle-of-radius-r-

Question Number 8917 by Rasheed Soomro last updated on 05/Nov/16 $$\mathrm{Proposed}\:\mathrm{by}\:\mathrm{Rasheed}\:\mathrm{Soomro}. \\ $$$$\mathrm{What}\:\mathrm{will}\:\mathrm{be}\:\mathrm{possible}\:\mathrm{minimum}\:\mathrm{area} \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{quadrilateral},\:\mathrm{whose}\:\mathrm{all}\:\mathrm{the}\:\mathrm{sides} \\ $$$$\mathrm{touch}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{of}\:\mathrm{radius}\:\:\mathrm{r}\:? \\ $$ Terms of Service Privacy Policy Contact:…

Question-139957

Question Number 139957 by cherokeesay last updated on 02/May/21 Commented by mr W last updated on 02/May/21 $${R}={r}+\frac{\mathrm{2}}{\mathrm{3}}×\sqrt{\mathrm{3}}{r} \\ $$$$\Rightarrow\frac{{R}}{{r}}=\mathrm{1}+\frac{\mathrm{2}\sqrt{\mathrm{3}}}{\mathrm{3}} \\ $$ Commented by Dwaipayan…

Question-74240

Question Number 74240 by ajfour last updated on 20/Nov/19 Commented by ajfour last updated on 21/Nov/19 $${Q}.\mathrm{73828}\:\:\:\left({If}\:{each}\:{face}\:{of}\:{outer}\right. \\ $$$${cube}\:{contains}\:{one}\:{corner}\:{of} \\ $$$${inner}\:{cube},\:{find}\:{range}\:{of}\:{s}/{a}. \\ $$$$\left(\boldsymbol{{s}}\:{being}\:{side}\:{length}\:{of}\:{inner}\:{cube},\right. \\ $$$$\left.\:\:{and}\:\boldsymbol{{a}}\:{that}\:{of}\:{outer}.\right)…