Category: Coordinate Geometry

Question Number 87561 by jagoll last updated on 05/Apr/20 $$\mathrm{for}\mathrm{x},\mathrm{y}\in \mathbb{R},$$$$\mathrm{x},\mathrm{y}>0\mathrm{satisfy}\mathrm{the}\mathrm{equation}$$$$\{\begin{array}{l}{\mathrm{x}}^3\mathrm{y}-{\mathrm{xy}}^3=24\\ {\mathrm{x}}^2+{\mathrm{y}}^2=10\end{array}$$$$\mathrm{find}\mathrm{the}\mathrm{possible}\mathrm{value}\mathrm{of}\mathrm{x}+\mathrm{y}?$$$$\left(\mathrm{a}\right)6\left(\mathrm{b}\right)5\left(\mathrm{c}\right)4\left(\mathrm{d}\right)3\sqrt{2}\left(\mathrm{e}\right)2$$ Commented…

Question Number 21837 by math solver last updated on 05/Oct/17 Commented by math solver last updated on 05/Oct/17 $$anyone??$$$$willanyoneanswermyquestion???$$$$;($$…

Question Number 151899 by liberty last updated on 24/Aug/21 Answered by john_santu last updated on 24/Aug/21 $$\mathrm{A}=\int_{\mathrm{0}} ^{\mathrm{6}} \left(\frac{−\mathrm{x}^{\mathrm{3}} }{\mathrm{6}}+\mathrm{x}^{\mathrm{2}} \right)\mathrm{dx}=\left[−\frac{\mathrm{x}^{\mathrm{4}} }{\mathrm{24}}+\frac{\mathrm{x}^{\mathrm{3}} }{\mathrm{3}}\right]_{\mathrm{0}} ^{\mathrm{6}} \…

Question Number 86063 by john santu last updated on 26/Mar/20 Answered by mr W last updated on 26/Mar/20 $$\left(\frac{\mathrm{1}}{{R}}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{6}}−\frac{\mathrm{1}}{\mathrm{9}}\right)^{\mathrm{2}} =\mathrm{2}\left(\frac{\mathrm{1}}{{R}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{6}^{\mathrm{2}} }+\frac{\mathrm{1}}{\mathrm{9}^{\mathrm{2}} }\right) \…

Question Number 151513 by pete last updated on 21/Aug/21 $$\mathrm{Find}\mathrm{two}\mathrm{possible}\mathrm{values}\mathrm{of}p\mathrm{if}\mathrm{the}\mathrm{lines}$$$$px-y=0\mathrm{and}3x+y+1=0\mathrm{intersect}\mathrm{at}45°$$ Answered by Olaf_Thorendsen last updated on 21/Aug/21 $${\mathrm{\Delta }}_1:px-y=0$$$$\Delta_{\mathrm{2}}…