Question Number 6640 by Rasheed Soomro last updated on 07/Jul/16 $$\mathrm{ABC}\:{is}\:{a}\:{triangle},{whose}\:{one}\:{vertex}\: \\ $$$${is}\:{moving}\:{along}\:{a}\:{circular}\:{path}.\: \\ $$$${Discuss}\:{the}\:{nature}\:{of}\:{the}\:\:{path},\:{along} \\ $$$${which}\:{the}\:\boldsymbol{{centroid}}\:{of}\:{the}\:{triangle} \\ $$$${is}\:{moving}. \\ $$ Commented by Rasheed Soomro…
Question Number 6635 by Rasheed Soomro last updated on 07/Jul/16 Commented by Rasheed Soomro last updated on 09/Jul/16 $${In}\:{other}\:{words}: \\ $$$${The}\:{median}\:{through}\:\mathrm{A}\:{in}\:\bigtriangleup\mathrm{ABC}\:{is}\:{equidistant} \\ $$$${from}\:\mathrm{B}\:\:{and}\:\:\mathrm{C}. \\ $$$${Or}…
Question Number 6564 by Yozzii last updated on 03/Jul/16 $${Let}\:\phi=\left\{\:{l}_{\mathrm{1}} \:,\:{l}_{\mathrm{2}} \:,\:{l}_{\mathrm{3}} \:\right\}\:{be}\:{a}\:{set}\:{of}\:{three},\:{nonparallel} \\ $$$${lines}\:{that}\:{all}\:{meet}\:{at}\:{one}\:{point}\:{R}\:{in}\: \\ $$$${the}\:{plane}.\:{Investigate}\:{conditions}\:{on}\:\phi \\ $$$${such}\:{that}\:{R}\:{is}\:{the}\:{centroid}\:{of}\:{some}\:{triangle}. \\ $$$$ \\ $$$$ \\ $$…
Question Number 6553 by Rasheed Soomro last updated on 01/Jul/16 Commented by Rasheed Soomro last updated on 01/Jul/16 $$\bullet\mid{AB}\mid={c},\:\mid{BC}\mid={a},\:\mid{CA}\mid={b} \\ $$$$\bullet\overset{\leftrightarrow} {{AE}}\:,\:\overset{\leftrightarrow} {{BF}}\:,\:\overset{\leftrightarrow} {{CD}}\:\:{are}\:\boldsymbol{{angular}}\:\boldsymbol{{bisectors}} \\…
Question Number 6488 by Rasheed Soomro last updated on 29/Jun/16 Commented by Rasheed Soomro last updated on 29/Jun/16 $${Centres}\:{of}\:{the}\:{arcs}\:\:{are}\:\mathrm{A},\mathrm{B}\:{and}\:\mathrm{C}. \\ $$$${Also}\:{determine}\:{the}\:{measures}\:{of}\:{the}\:{sides} \\ $$$${of}\:\bigtriangleup\mathrm{DFH}. \\ $$$${May}\:{be}\:{treated}\:{as}\:{separate}\:{question}\left(\:{labled}\right.…
Question Number 6475 by WAI LIN last updated on 28/Jun/16 $${Find}\:{a}\:{solution}\:{of}\:{the}\:{form}\:\emptyset\left({x}\right)={x}^{{r}} \underset{{k}=\mathrm{0}} {\overset{\alpha} {\sum}}{c}_{{k}} {x}^{{k}} \:\left({x}\:>\:\mathrm{0}\right)\:{for}\: \\ $$$${xy}^{''} +\:{y}'\:−\:{y}\:=\:\mathrm{0}. \\ $$ Commented by Yozzii last…
Question Number 71993 by TawaTawa last updated on 23/Oct/19 Answered by mind is power last updated on 23/Oct/19 $$\mathrm{let}\angle\:\mathrm{A}\overset{} {\mathrm{C}E}=\angle\mathrm{ADE}=\mathrm{x} \\ $$$$\Rightarrow\angle\mathrm{ECD}=\mathrm{3x}−\mathrm{x}=\mathrm{2x}\Rightarrow\mathrm{EC}=\mathrm{ED}\:\:\mathrm{ECD}\:\mathrm{isocel}\:\mathrm{Triangl} \\ $$$$\angle\mathrm{ADC}=\angle\mathrm{EDC}−\angle\mathrm{EDA}=\mathrm{2x}−\mathrm{x}=\mathrm{x} \\…
Question Number 6432 by Rasheed Soomro last updated on 27/Jun/16 Commented by Rasheed Soomro last updated on 27/Jun/16 $${Question}\:{reposted} \\ $$$$\mid{GH}\mid=?\:,\:\mid{HI}\mid=?\:,\mid{IG}\mid=? \\ $$ Commented by…
Question Number 71964 by mr W last updated on 22/Oct/19 Commented by mr W last updated on 22/Oct/19 $${find}\:{x}=? \\ $$ Answered by behi83417@gmail.com last…
Question Number 6419 by sanusihammed last updated on 26/Jun/16 $${Convert}\:\:\:\:\mathrm{34}.\mathrm{8989898989}\:\:\:\:{and}\:\:\:\:\mathrm{0}.\mathrm{789789789789}\: \\ $$$${to}\:{fraction}. \\ $$ Answered by Rasheed Soomro last updated on 26/Jun/16 $${Do}\:{you}\:{mean}\:\:\mathrm{34}.\mathrm{8989898989}…\:\mathrm{89}\:{forever} \\ $$$${and}\:\mathrm{0}.\mathrm{789789789789}…\mathrm{789}\:{forever}?…