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Category: Coordinate Geometry

Question-88430

Question Number 88430 by ajfour last updated on 10/Apr/20 Commented by ajfour last updated on 10/Apr/20 $${Q}.\mathrm{88352}\:\left({My}\:{answer}\:{to}\:{the}\:{question}\right) \\ $$$${parabola}:\:\:{y}={cx}^{\mathrm{2}} +{b} \\ $$$${ellipse}:\:\:\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }+\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}}…

Question-88352

Question Number 88352 by ajfour last updated on 10/Apr/20 Commented by ajfour last updated on 10/Apr/20 $${Eq}.\:{of}\:{ellipse}:\:\:\:\frac{{x}^{\mathrm{2}} }{\mathrm{25}}+\frac{{y}^{\mathrm{2}} }{\mathrm{9}}=\mathrm{1} \\ $$$${eq}.\:{of}\:{parabola}:\:\:{y}=\frac{\mathrm{6}{x}^{\mathrm{2}} }{\mathrm{25}}+\mathrm{3} \\ $$$${Find}\:{radius}\:{of}\:{shown}\:{circle}. \\…

Question-88245

Question Number 88245 by jagoll last updated on 09/Apr/20 Answered by john santu last updated on 09/Apr/20 $$\Rightarrow\frac{\Delta}{\mathrm{4}}\:=\:\mathrm{0}\:,\:\left[\:\Delta\:=\:{discriminant}\:\right] \\ $$$$\left({ab}+{bc}\right)−\left({a}^{\mathrm{2}} +{b}^{\mathrm{2}} \right)\left({b}^{\mathrm{2}} +{c}^{\mathrm{2}} \right)\:=\:\mathrm{0} \\…