Question Number 15868 by tawa tawa last updated on 14/Jun/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{and}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circumcircle}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{formed}\:\mathrm{by}\: \\ $$$$\mathrm{the}\:\mathrm{three}\:\mathrm{line}: \\ $$$$\mathrm{2y}\:−\:\mathrm{9x}\:+\:\mathrm{26}\:=\:\mathrm{0} \\ $$$$\mathrm{9y}\:+\:\mathrm{2x}\:+\:\mathrm{32}\:=\:\mathrm{0} \\ $$$$\mathrm{11y}\:−\:\mathrm{7x}\:−\:\mathrm{27}\:=\:\mathrm{0} \\ $$ Answered by Tinkutara last…
Question Number 81393 by ajfour last updated on 12/Feb/20 Commented by ajfour last updated on 12/Feb/20 $${Q}.\mathrm{81331}\:{reposted} \\ $$ Answered by ajfour last updated on…
Question Number 146840 by bramlexs22 last updated on 16/Jul/21 Answered by nimnim last updated on 16/Jul/21 $$ \\ $$ Commented by bobhans last updated on…
Question Number 15736 by ajfour last updated on 13/Jun/17 $${From}\:{a}\:{point}\:{A}\:{on}\:{the}\:{circum}- \\ $$$${ference}\:{of}\:{a}\:{circle}\:{of}\:{radius}\:\boldsymbol{{r}},\:{a} \\ $$$${perpendicular}\:{AF}\:\:{is}\:{dropped}\:{on} \\ $$$${a}\:{tangent}\:{to}\:{the}\:{circle}\:{at}\:{P}. \\ $$$${Find}\:{the}\:\:{maximum}\:{possible}\: \\ $$$${area}\:{of}\:\Delta{APF}\:. \\ $$ Answered by mrW1…
Question Number 146775 by Willson last updated on 15/Jul/21 $$\boldsymbol{\mathrm{Prove}}\:\boldsymbol{\mathrm{that}}\: \\ $$$$\:\:\underset{\:\mathrm{0}} {\int}^{\:\boldsymbol{\pi}} \boldsymbol{{tln}}\left(\boldsymbol{{sint}}\right)\boldsymbol{{dt}}=\:−\frac{\boldsymbol{\pi}^{\mathrm{2}} }{\mathrm{2}}\boldsymbol{{ln}}\left(\mathrm{2}\right) \\ $$ Answered by ArielVyny last updated on 15/Jul/21 $$\int_{\mathrm{0}}…
Question Number 81135 by ajfour last updated on 09/Feb/20 Commented by ajfour last updated on 09/Feb/20 $${Find}\:{radii}\:{of}\:{both}\:{circles}. \\ $$ Answered by mr W last updated…
Question Number 15480 by ajfour last updated on 10/Jun/17 Commented by ajfour last updated on 10/Jun/17 $${Q}.\:\mathrm{15434}\:\:{answered}\:{here}. \\ $$$$\:{To}\:{find}\:{maximum}\:{length}\:{of} \\ $$$${AB},\:{in}\:{terms}\:{of}\:\boldsymbol{{r}},\boldsymbol{{R}},\:{and}\:\boldsymbol{{d}}\:. \\ $$ Answered by…
Question Number 80900 by ajfour last updated on 07/Feb/20 Commented by ajfour last updated on 07/Feb/20 $${Find}\:{the}\:{radius}\left({equal}\right)\:{of}\:{the}\: \\ $$$${circles}. \\ $$ Answered by ajfour last…
Question Number 80869 by MASANJAJ last updated on 07/Feb/20 $${find}\:{the}\:{coordinate}\:{of}\:{the}\:{line}\:{prese} \\ $$$${nted}\:{with}\:{line}\:\mathrm{2}{x}−\mathrm{3}{y}+\mathrm{7}=\mathrm{0}.{which}\:{is} \\ $$$${equadistance}\:{from}\:{points}\:\left(−\mathrm{4},\mathrm{8}\right)\:{and}\: \\ $$$$\left(\mathrm{7},\mathrm{1}\right) \\ $$ Commented by ajfour last updated on 07/Feb/20…
Question Number 80639 by jagoll last updated on 05/Feb/20 $$\frac{\mathrm{log}_{\mathrm{2}} ^{\mathrm{2}} \:\left({x}−\mathrm{4}\right)−\mathrm{log}_{\mathrm{2}} \left(\mathrm{4}−{x}\right)^{\mathrm{8}} +\mathrm{16}}{\mathrm{30}−\mathrm{3}{x}−\left(\mathrm{4}−{x}\right)^{\mathrm{2}} }\:\geqslant\:\mathrm{0} \\ $$ Commented by john santu last updated on 05/Feb/20…