Category: Coordinate Geometry

Question Number 54364 by peter frank last updated on 02/Feb/19 $$\mathrm{If}\mathrm{p}\mathrm{is}\mathrm{the}\mathrm{measure}\mathrm{of}\mathrm{per}$$$$\mathrm{pendicular}\mathrm{segment}\mathrm{from}$$$$\mathrm{the}\mathrm{origin}\mathrm{on}\mathrm{the}\mathrm{line}$$$$\mathrm{whose}\mathrm{intercept}\mathrm{are}$$$$\mathrm{a}\mathrm{and}\mathrm{b}.\mathrm{show}\mathrm{that}$$$$\frac{\mathrm{1}}{\mathrm{a}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{b}^{\mathrm{2}} }=\frac{\mathrm{1}}{\mathrm{p}^{\mathrm{2}} } \…

Question Number 54270 by peter frank last updated on 01/Feb/19 $$Findtheequationtotwo$$$$circleswhichtouchthe$$$$x-axisattheorigin$$$$andalsotouchtheline$$$$12x+5y=60$$ Answered by ajfour last…

Question Number 54229 by ajfour last updated on 31/Jan/19 Commented by ajfour last updated on 31/Jan/19 $$Findmaximuminradiusofcircle$$$$intermsofellipseparametersa,b.$$ Answered by mr W…

Question Number 54160 by ajfour last updated on 30/Jan/19 Commented by ajfour last updated on 30/Jan/19 $$Findmaximumareaof△ABCin$$$$termsofRandr.$$ Answered by mr W…

Question Number 185169 by a.lgnaoui last updated on 18/Jan/23 $$calculde{l}^{\prime }angle\mathit{x}$$$$△ABD\frac{\sin \mathrm{y}}{\mathrm{AD}}=\frac{\sin 44}{\mathrm{BD}}\left(1\right)$$$$△ADC\frac{\sin \mathrm{x}}{\mathrm{AD}}=\frac{\sin 48}{\mathrm{DC}}\left(2\right)$$$$\left(1\right)\mathrm{BD}\sin \mathrm{y}=\mathrm{ADsin}44$$$$\left(2\right)\mathrm{DCsinx}=\mathrm{ADsin}48$$$$$$$$\frac{\left(1\right)}{\left(2\right)}\iff \frac{\mathrm{BDsin}\mathrm{y}}{\mathrm{DCsin}\mathrm{x}}=\frac{\sin 44}{\sin 48}\left(3\right)$$$$ \…