Question Number 28461 by Tinkutara last updated on 26/Jan/18
Commented by Tinkutara last updated on 26/Jan/18
Commented by ajfour last updated on 26/Jan/18
$${if}\:{O}\:{is}\:{the}\:{origin},\:{locus}\:{is} \\ $$$$\mathrm{2}{a}_{\mathrm{1}} {a}_{\mathrm{2}} {x}^{\mathrm{2}} +\mathrm{2}{b}_{\mathrm{1}} {b}_{\mathrm{2}} {y}^{\mathrm{2}} +\mathrm{2}\left({a}_{\mathrm{1}} {b}_{\mathrm{2}} +{a}_{\mathrm{2}} {b}_{\mathrm{1}} \right){xy} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:+\left({a}_{\mathrm{1}} +{a}_{\mathrm{2}} \right){x}+\left({b}_{\mathrm{1}} +{b}_{\mathrm{2}} \right){y}=\mathrm{0}\:. \\ $$