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Category: Coordinate Geometry

what-the-equation-of-parabola-whose-focus-F-3-4-and-directrix-is-3x-4y-5-0-

Question Number 112664 by bemath last updated on 09/Sep/20 $$\mathrm{what}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{parabola}\: \\ $$$$\mathrm{whose}\:\mathrm{focus}\:\mathrm{F}\left(−\mathrm{3},\mathrm{4}\right)\:\mathrm{and}\:\mathrm{directrix} \\ $$$$\mathrm{is}\:\mathrm{3x}−\mathrm{4y}+\mathrm{5}=\mathrm{0}\:? \\ $$ Commented by bemath last updated on 09/Sep/20 Answered by…

Question-178131

Question Number 178131 by cortano1 last updated on 13/Oct/22 Commented by Frix last updated on 13/Oct/22 $$\mathrm{the}\:\mathrm{radius}\:\mathrm{is}\:{s}×{r}\:\mathrm{with}\:{r}\:\mathrm{being}\:\mathrm{the}\:\mathrm{real} \\ $$$$\mathrm{solution}\:\mathrm{of} \\ $$$${r}^{\mathrm{3}} −\mathrm{2}{r}^{\mathrm{2}} +\frac{\mathrm{3}{r}}{\mathrm{2}}−\frac{\mathrm{1}}{\mathrm{4}}=\mathrm{0} \\ $$$$\mathrm{which}\:\mathrm{is}…

Question-46935

Question Number 46935 by ajfour last updated on 02/Nov/18 Commented by ajfour last updated on 03/Nov/18 $${If}\:{both}\:{coloured}\:{regions}\:{have}\:{the} \\ $$$${same}\:{area},\:{find}\:{locus}\:{of}\:{C}\:{in} \\ $$$${polar}\:{form}\:{or}\:{cartesian}\:{form}. \\ $$$${Take}\:{center}\:{of}\:{rectangle}\:{as}\:{origin}, \\ $$$${and}\:{radius}\:{of}\:{circle}\:{R}.…