The point on the parabola y^2 = 18x,for which | vedclass

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(D) Let the point be $(x, y)$.Given that the ordinate $(y)$ is three times the abscissa $(x)$,we have $y = 3x$.Substitute $y = 3x$ into the equation o

Vedclass · Accepted Answer

$(2, 6)$

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(D) Let the point be $(x, y)$.Given that the ordinate $(y)$ is three times the abscissa $(x)$,we have $y = 3x$.Substitute $y = 3x$ into the equation of the parabola $y^2 = 18x$:$(3x)^2 = 18x$$9x^2 = 18x$$9x^2 - 18x = 0$$9x(x - 2) = 0$This gives $x = 0$ or $x = 2$.If $x = 0$,then $y = 3(0) = 0$. The point is $(0, 0)$.If $x = 2$,then $y = 3(2) = 6$. The point is $(2, 6)$.Comparing with the given options,the correct point is $(2, 6)$.

The point on the parabola $y^2 = 18x$,for which the ordinate is three times the abscissa,is

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