Menu Close

Category: Geometry

Question-164627

Question Number 164627 by amin96 last updated on 19/Jan/22 Answered by mahdipoor last updated on 19/Jan/22 $${a}=\mathrm{2018}+\frac{\mathrm{1}}{\mathrm{2019}}=\mathrm{2019}−\frac{\mathrm{2018}}{\mathrm{2019}} \\ $$$${b}=\mathrm{2019}−\frac{\mathrm{1}}{\mathrm{2018}} \\ $$$${c}=\mathrm{2018}+\frac{\mathrm{2019}}{\mathrm{2018}}=\mathrm{2019}+\frac{\mathrm{1}}{\mathrm{2018}} \\ $$$${d}=\mathrm{2020}−\frac{\mathrm{2020}}{\mathrm{2019}}=\mathrm{2019}−\frac{\mathrm{1}}{\mathrm{2019}} \\ $$$$\Rightarrow{a}<{b}<{d}<{c}…

Question-33452

Question Number 33452 by ajfour last updated on 16/Apr/18 Commented by ajfour last updated on 16/Apr/18 $${Find}\:{length}\:{of}\:{shadow}\:{s}\:{of}\:{a}\: \\ $$$${stick}\:{of}\:{length}\:\boldsymbol{{l}}\:{when}\:{source} \\ $$$${of}\:{light}\:{is}\:{a}\:{point}\:{source}\:{at} \\ $$$${height}\:{H}\:{above}\:{ground}. \\ $$…

Question-98675

Question Number 98675 by Algoritm last updated on 15/Jun/20 Commented by Algoritm last updated on 16/Jun/20 $$\mathrm{someone}\:\mathrm{gave}\:\mathrm{me}\:\mathrm{an}\:\mathrm{original}\:\mathrm{picture}\:\mathrm{and}\:\mathrm{I}'\mathrm{ll}\:\mathrm{translate}\:\mathrm{it} \\ $$ Commented by mr W last updated…

Question-164178

Question Number 164178 by mr W last updated on 15/Jan/22 Commented by mr W last updated on 15/Jan/22 $${two}\:{points}\:{P},\:{Q}\:{lie}\:{on}\:{the}\:{parabola} \\ $$$${with}\:{PQ}={b}.\:{find}\:{the}\:{locus}\:{of}\:{its} \\ $$$${midpoint}\:{M}.\:{find}\:{the}\:{lowest}\:{possible} \\ $$$${position}\:{of}\:{M}.…

Question-164174

Question Number 164174 by mr W last updated on 15/Jan/22 Commented by mr W last updated on 15/Jan/22 $${find}\:{the}\:{position}\:{of}\:{point}\:{P}\:{in}\:{a} \\ $$$${given}\:{triangle}\:{such}\:{that}\:{the}\:{sum} \\ $$$${of}\:{its}\:{distances}\:{to}\:{the}\:{vertices}\:{is} \\ $$$${minimum}.\:{find}\:{the}\:{corresponding}…