Question Number 49730 by behi83417@gmail.com last updated on 09/Dec/18
$$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{largest}}\:\boldsymbol{\mathrm{ellipse}}\:\boldsymbol{\mathrm{inscribed}}\:\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{a}} \\ $$$$\boldsymbol{\mathrm{given}}\:\boldsymbol{\mathrm{rectangle}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{its}}\:\boldsymbol{\mathrm{major}}\:\boldsymbol{\mathrm{axe}}\:\boldsymbol{\mathrm{of}}:\boldsymbol{\mathrm{ellipse}} \\ $$$$\boldsymbol{\mathrm{lies}}\:\boldsymbol{\mathrm{on}}\:\boldsymbol{\mathrm{rectangle}}\:\boldsymbol{\mathrm{diagonal}}. \\ $$
Commented by mr W last updated on 10/Dec/18
$${I}\:{don}'{t}\:{think}\:{there}\:{exists}\:{such}\:{an}\:{inscribed} \\ $$$${ellipse}\:{whose}\:{major}\:{axis}\:{lies}\:{on}\:{the} \\ $$$${diagonal}\:{of}\:{the}\:{rectangle},\:{eccept}\:{that} \\ $$$${the}\:{rectangle}\:{is}\:{a}\:{square}. \\ $$