Question Number 23428 by gopikrishnan005@gmail.com last updated on 30/Oct/17
$${the}\:{curve}\:{ay}^{\mathrm{2}} ={x}^{\mathrm{2}} \left(\mathrm{3}{a}−{x}\right)\:{cuts}\:{the}\:{y}-{axis}\:{at} \\ $$
Answered by $@ty@m last updated on 30/Oct/17
$${orogin} \\ $$
Answered by FilupES last updated on 31/Oct/17
$${y}^{\mathrm{2}} =\frac{{x}^{\mathrm{2}} }{{a}}\left(\mathrm{3}{a}−{x}\right) \\ $$$$\mathrm{cuts}\:\mathrm{origin}\:\mathrm{when}\:{y}=\mathrm{0} \\ $$$$\left(\mathrm{note}\:{y}^{\mathrm{2}} ={y}=\mathrm{0}\right) \\ $$$$\: \\ $$$$\therefore\frac{{x}^{\mathrm{2}} }{{a}}\left(\mathrm{3}{a}−{x}\right)=\mathrm{0} \\ $$$${x}=\mathrm{0} \\ $$$$\mathrm{and}\:{x}=\mathrm{3}{a} \\ $$
Commented by mrW1 last updated on 31/Oct/17
$$\mathrm{I}\:\mathrm{think}\:\mathrm{he}\:\mathrm{wants}\:\mathrm{the}\:\mathrm{cut}\:\mathrm{points}\:\mathrm{on}\:\mathrm{y}−\mathrm{axis}, \\ $$$$\mathrm{i}.\mathrm{e}.\:\mathrm{x}=\mathrm{0} \\ $$
Commented by FilupES last updated on 31/Oct/17
$$\mathrm{thanks},\:\mathrm{i}\:\mathrm{missread}\:\mathrm{the}\:\mathrm{question} \\ $$
Commented by FilupES last updated on 31/Oct/17
$${y}\:{axis}\:\mathrm{when}\:{x}=\mathrm{0} \\ $$$$\therefore{y}=\mathrm{0} \\ $$