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Category: Coordinate Geometry

Q-63108-A-check-eq-of-ellipse-x-2-4-y-2-1-Inscribed-equilateral-ABC-of-side-s-16-6-365-Do-these-points-satisfy-for-A-B-C-A-4-365-19-365-B-20-8-3-

Question Number 63218 by ajfour last updated on 30/Jun/19 $${Q}.\mathrm{63108}\:\:\:\left({A}\:{check}\right) \\ $$$${eq}.\:{of}\:{ellipse} \\ $$$$\frac{{x}^{\mathrm{2}} }{\mathrm{4}}+{y}^{\mathrm{2}} =\mathrm{1} \\ $$$${Inscribed}\:{equilateral}\:\bigtriangleup{ABC} \\ $$$${of}\:{side}\:\boldsymbol{{s}}=\frac{\mathrm{16}\sqrt{\mathrm{6}}}{\:\sqrt{\mathrm{365}}} \\ $$$${Do}\:{these}\:{points}\:{satisfy}\:{for} \\ $$$${A},\:{B},\:{C}\:? \\…

Question-63178

Question Number 63178 by ajfour last updated on 30/Jun/19 Commented by Prithwish sen last updated on 30/Jun/19 $$\mathrm{Sir},\:\mathrm{whether}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\left[\left(\frac{\mathrm{a}+\mathrm{b}}{\mathrm{2}}\right),\left(\frac{\mathrm{a}+\mathrm{b}}{\mathrm{2}}\right)^{\mathrm{2}} \right]\:\mathrm{or}\:\mathrm{not}\:? \\ $$ Answered by mr W…

write-the-equation-of-the-circle-which-containing-the-points-4-3-1-2-and-center-on-line-3x-4y-7-

Question Number 128611 by malwan last updated on 08/Jan/21 $${write}\:{the}\:{equation}\:{of}\:{the}\: \\ $$$${circle}\:{which}\:{containing}\: \\ $$$${the}\:{points}\:\left(\mathrm{4},−\mathrm{3}\right),\left(\mathrm{1},−\mathrm{2}\right) \\ $$$${and}\:{center}\:{on}\:{line} \\ $$$$\mathrm{3}{x}\:+\:\mathrm{4}{y}\:=\mathrm{7} \\ $$ Answered by mr W last…