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Category: Coordinate Geometry

Question-168427

Question Number 168427 by cortano1 last updated on 10/Apr/22 Commented by som(math1967) last updated on 10/Apr/22 $$\measuredangle{ABC}={x} \\ $$$$\boldsymbol{{cosx}}=\frac{\mathrm{24}}{\mathrm{64}}=\frac{\mathrm{3}}{\mathrm{8}} \\ $$$$\:\frac{{BE}}{\mathrm{2}}={AB}×{S}\boldsymbol{{in}}\left(\mathrm{270}−\mathrm{3}\boldsymbol{{x}}\right) \\ $$$$\boldsymbol{{B}}{E}=\mathrm{2}{AB}×−{Cos}\mathrm{3}{x} \\ $$$$\:=\mathrm{2}×\mathrm{64}×\left(\mathrm{3}\boldsymbol{{cosx}}−\mathrm{4}\boldsymbol{{cos}}^{\mathrm{3}}…

91x-2-84y-2-24xy-406x-392y-799-0-find-the-eccentricity-focus-length-of-major-amp-minor-axis-directrix-amp-length-of-eccentric-perpendicular-

Question Number 168367 by MdNafiz last updated on 09/Apr/22 $$\mathrm{91}{x}^{\mathrm{2}} +\mathrm{84}{y}^{\mathrm{2}} −\mathrm{24}{xy}+\mathrm{406}{x}−\mathrm{392}{y}+\mathrm{799}=\mathrm{0} \\ $$$${find}\:{the}\:{eccentricity},{focus},{length}\:{of}\:{major}\:\&\:{minor}\:{axis},{directrix}\:\&\:{length}\:{of}\:{eccentric}\:{perpendicular} \\ $$$$ \\ $$ Answered by mr W last updated on…

Question-37263

Question Number 37263 by ajfour last updated on 11/Jun/18 Commented by ajfour last updated on 11/Jun/18 $${If}\:{the}\:{circles}\:\left({radii}\:{given}\right)\:{touch} \\ $$$${in}\:{the}\:{manner}\:{shown}\:{above},\: \\ $$$${Find}\:{coordinates}\:{of}\:{centre}\:{C} \\ $$$${in}\:{terms}\:{of}\:\boldsymbol{{a}},\:\boldsymbol{{b}},\:{and}\:\boldsymbol{{R}}. \\ $$…