Question

For what point of the parabola $y^2=18x$ is the ordinate equal to three times the abscissa ?

Answer 1

$y^2=18x$

when $y=3x$

${\left(3x\right)}^2=18x9x^2-18x=0x^2-2x=0\Rightarrow x=0,2y=3x\Rightarrow y=0,6$

So the point where ordinate is three times abscisssa is $(2,6)$