Question Number 225866 by BHOOPENDRA last updated on 15/Nov/25 $${Question}\:\mathrm{222520} \\ $$ Answered by BHOOPENDRA last updated on 15/Nov/25 $$\frac{−{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }+\frac{\left({y}+{b}\right)^{\mathrm{2}} }{{b}^{\mathrm{2}} }=\mathrm{1} \\…
Question Number 225892 by mnjuly1970 last updated on 15/Nov/25 Answered by A5T last updated on 15/Nov/25 $$\mathrm{Let}\:\mathrm{O}\:\mathrm{be}\:\mathrm{the}\:\mathrm{centre}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{and}\:\mathrm{OX}=\mathrm{d} \\ $$$$\mathrm{Let}\:\mathrm{OB}=\mathrm{r}\Rightarrow\mathrm{XB}=\mathrm{r}−\mathrm{d};\:\mathrm{AX}=\mathrm{a}+\mathrm{b}+\mathrm{c}=\mathrm{e} \\ $$$$\mathrm{AO}=\sqrt{\mathrm{e}^{\mathrm{2}} +\mathrm{d}^{\mathrm{2}} }\: \\ $$$$\angle\mathrm{BYC}=\mathrm{90}°\:\Rightarrow\:\mathrm{XHYC}\:\mathrm{is}\:\mathrm{cyclic}…
Question Number 225861 by fantastic2 last updated on 15/Nov/25 $$\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\frac{{ln}^{\mathrm{12}} \left(\mathrm{1}−{x}\right)}{\:\sqrt{\frac{{ln}^{\mathrm{12}} \left(\mathrm{1}−{x}\right)}{\:\sqrt{\frac{{ln}^{\mathrm{12}} \left(\mathrm{1}−{x}\right)}{\:\sqrt{\frac{{ln}^{\mathrm{12}} \left(\mathrm{1}−{x}\right)}{…}}}}}}}}{dx}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 225904 by ajfour last updated on 15/Nov/25 Commented by ajfour last updated on 15/Nov/25 $${If}\:{parabola}\:{is}\:{y}={x}^{\mathrm{2}} .\:{Find}\:{equations} \\ $$$${of}\:{both}\:{these}\:{circles}\:{of}\:{equal}\:{radii}. \\ $$ Answered by mr…
Question Number 225856 by ajfour last updated on 15/Nov/25 Commented by ajfour last updated on 15/Nov/25 $${Parabola}\:{shown}\:{is}\:\:{y}={x}^{\mathrm{2}} . \\ $$$${Find}\:{equations}\:{of}\:{maximum} \\ $$$${radius}\:{yellow}\:{circles},\:{or}\:{find} \\ $$$$\:\:\:\:\:\:\:{r},\:{C}\left({h},{k}\right)\:,\:{C}\:'\left(−{h},{k}\right) \\…
Question Number 225820 by mr W last updated on 13/Nov/25 Commented by mr W last updated on 13/Nov/25 Answered by mr W last updated on…
Question Number 225832 by mr W last updated on 14/Nov/25 Commented by mr W last updated on 14/Nov/25 $${which}\:{tank}\:{will}\:{empty}\:{first}\:{and}\:{why}? \\ $$ Commented by fantastic last…
Question Number 225840 by hardmath last updated on 14/Nov/25 Commented by hardmath last updated on 14/Nov/25 $$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\mathrm{MA}^{\mathrm{2}} +\mathrm{MB}^{\mathrm{2}} +\mathrm{MC}^{\mathrm{2}} +\mathrm{MD}^{\mathrm{2}} \:=\:\mathrm{4R}^{\mathrm{2}} \\ $$…
Question Number 225814 by fantastic last updated on 12/Nov/25 $$\int\mid{x}\mid{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 225810 by hardmath last updated on 12/Nov/25 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{in}\:\mathrm{any}\:\mathrm{triangle}: \\ $$$$\frac{\mathrm{4R}}{\mathrm{r}}\:\geqslant\:\frac{\mathrm{w}_{\boldsymbol{\mathrm{a}}} \:\mathrm{w}_{\boldsymbol{\mathrm{b}}} \:\mathrm{w}_{\boldsymbol{\mathrm{c}}} }{\mathrm{h}_{\boldsymbol{\mathrm{a}}} \:\mathrm{h}_{\boldsymbol{\mathrm{b}}} \:\mathrm{h}_{\boldsymbol{\mathrm{c}}} }\:\centerdot\:\left(\frac{\mathrm{1}}{\mathrm{a}}\:+\:\frac{\mathrm{1}}{\mathrm{b}}\right)\centerdot\left(\sqrt{\mathrm{a}}\:+\:\sqrt{\mathrm{b}}\right)^{\mathrm{2}} \\ $$ Terms of Service Privacy Policy…