Category: Coordinate Geometry

Question Number 53689 by ajfour last updated on 25/Jan/19 Commented by ajfour last updated on 25/Jan/19 $${Find}\:{R}\:{in}\:{terms}\:{of}\:{a},{b},\:{and}\:{r}. \\ $$ Answered by mr W last updated…

Question Number 53492 by ajfour last updated on 22/Jan/19 Commented by ajfour last updated on 22/Jan/19 $${Find}\:{parameters}\:\boldsymbol{{a}}\:{and}\:\boldsymbol{{b}}\:{of}\:{an} \\ $$$${ellipse}\:{that}\:{circumscribes}\:{an} \\ $$$${equilateral}\:{triangle}\:{of}\:{side}\:\boldsymbol{{t}}\:{and} \\ $$$${even}\:{a}\:{square}\:{of}\:{side}\:\boldsymbol{{s}}. \\ $$…

Question Number 118868 by bemath last updated on 20/Oct/20 $${If}\:{the}\:{graphs}\:{of}\:{y}={x}^{\mathrm{2}} +\mathrm{2}{ax}+\mathrm{6}{b}\: \\ $$$${and}\:{y}={x}^{\mathrm{2}} +\mathrm{2}{bx}+\mathrm{6}{a}\:{intersect}\:{at}? \\ $$$${only}\:{one}\:{point}\:{in}\:{the}\:{xy}−{plane} \\ $$$$,\:{what}\:{is}\:{the}\:{x}−{coordinate}\:{of}\:{the} \\ $$$${point}\:{of}\:{intersection}\:? \\ $$ Answered by bobhans…

Question Number 184349 by alcohol last updated on 05/Jan/23 $${I}_{{n}} \:=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \left(\mathrm{1}−{x}^{\mathrm{2}} \right)^{{n}} {dx} \\ $$$${Relate}\:{I}_{{n}} \:{and}\:{I}_{{n}−\mathrm{1}} \\ $$$${Find}\:{I}_{{n}} \:{in}\:{terms}\:{of}\:{n} \\ $$$${hence}\:{deduce}\:{that}\:\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\frac{\left(−\mathrm{1}\right)^{{k}}…

Question Number 53207 by peter frank last updated on 19/Jan/19 Terms of Service Privacy Policy Contact: info@tinkutara.com