Category: Coordinate Geometry

Question Number 81485 by ajfour last updated on 13/Feb/20 Commented by ajfour last updated on 13/Feb/20 $${If}\:{area}\:{of}\:{region}\:{A}\:{is}\:{equal}\:{to} \\ $$$${that}\:{of}\:{B},\:{find}\:{eq}.\:{of}\:{parabola}. \\ $$ Commented by jagoll last…

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 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 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 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…