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Category: Coordinate Geometry

Question-225497

Question Number 225497 by gregori last updated on 31/Oct/25 Answered by Simurdiera last updated on 01/Nov/25 $$\begin{array}{|c|}{\mathrm{11}}\\\hline\end{array}\begin{cases}{{x}\:+\:{y}\:+\:\sqrt{{xy}}\:=\:\mathrm{28}\:\:\:\:\:\ldots\left(\mathrm{I}\right)}\\{{x}^{\mathrm{2}} \:+\:{y}^{\mathrm{2}} \:+\:{xy}\:=\:\mathrm{336}\:\:\:\:\:\ldots\left(\mathrm{II}\right)}\end{cases} \\ $$$$\mathrm{En}\:\left(\mathrm{II}\right),\:\mathrm{sumando}\:\mathrm{ceros} \\ $$$${x}^{\mathrm{2}} \:+\:{y}^{\mathrm{2}} \:+\:{xy}\:+\:{xy}\:−\:{xy}\:=\:\mathrm{336}…

The-foot-of-the-perpendicular-from-a-point-of-the-circle-x-2-y-2-1-z-0-to-the-plan-2x-3y-z-6-lie-on-curve-

Question Number 222531 by BHOOPENDRA last updated on 29/Jun/25 $${The}\:{foot}\:{of}\:{the}\:{perpendicular}\:{from}\: \\ $$$${a}\:{point}\:{of}\:{the}\:{circle}\:\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{1},{z}=\mathrm{0} \\ $$$${to}\:{the}\:{plan}\:\mathrm{2}{x}+\mathrm{3}{y}+{z}=\mathrm{6}\:{lie}\:{on}\:{curve}−−−−−− \\ $$ Answered by mr W last updated on…

Question-221288

Question Number 221288 by alcohol last updated on 29/May/25 Answered by mahdipoor last updated on 29/May/25 $$\frac{{x}+\frac{{x}+…}{\mathrm{1}+…}}{\mathrm{1}+\frac{{x}+…}{\mathrm{1}+…}}={A}=\frac{{x}+{A}}{\mathrm{1}+{A}}\:\Rightarrow{A}=\sqrt{{x}} \\ $$$$\int\sqrt{{x}}{dx}=\frac{\mathrm{2}}{\mathrm{3}}{x}^{\mathrm{3}/\mathrm{2}} +{C} \\ $$$$ \\ $$ Terms…