Category: Geometry

Question Number 165514 by Tawa11 last updated on 02/Feb/22 Answered by som(math1967) last updated on 03/Feb/22 $$\left.\boldsymbol{{a}}\right)\:\:\boldsymbol{{let}}\:\boldsymbol{{radius}}\:\boldsymbol{{OC}}=\boldsymbol{{x}} \\ $$$$\therefore\boldsymbol{{OD}}=\left(\boldsymbol{{x}}−\mathrm{2}\right) \\ $$$$\boldsymbol{{from}}\bigtriangleup\boldsymbol{{OED}} \\ $$$$\:\:\boldsymbol{{x}}^{\mathrm{2}} =\mathrm{6}^{\mathrm{2}} +\left(\boldsymbol{{x}}−\mathrm{2}\right)^{\mathrm{2}}…

Question Number 165250 by ajfour last updated on 28/Jan/22 Commented by ajfour last updated on 28/Jan/22 $$\:\:{Clearly}\:{p}^{\mathrm{3}} ={p}+{c}\:;\:{find}\:{p}. \\ $$ Terms of Service Privacy Policy…

Question Number 165170 by Tawa11 last updated on 26/Jan/22 Commented by mr W last updated on 27/Jan/22 Commented by mr W last updated on 27/Jan/22…

Question Number 165122 by mr W last updated on 26/Jan/22 Commented by mr W last updated on 26/Jan/22 $${three}\:{vertices}\:{of}\:{the}\:{square}\:{lie}\:{on} \\ $$$${the}\:{parabola}.\:{find}\:{the}\:{locus}\:{of}\:{the} \\ $$$${fourth}\:{vertex}\:{inside}\:{the}\:{parabola}. \\ $$…

Question Number 164941 by ajfour last updated on 23/Jan/22 Commented by ajfour last updated on 23/Jan/22 $${If}\:{radii}\:{of}\:{inscribed}\:{and}\:{circum}- \\ $$$${scribed}\:{spheres}\:{are}\:\boldsymbol{{a}}\:{and}\:\boldsymbol{{b}},\:{find} \\ $$$${height}\:{and}\:{radius}\:{of}\:{cone}. \\ $$ Answered by…