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Position of a point with respect to a parabola
For what point of the parabola the ${y^2} = 18x$ ordinate equal to three times the abscissa?
Mathematics
Position of a point with respect to a parabola
A point on parabola ${y^2} = 18x$ at which the ordinate increases at twice the rate of the abscissa is:
\[
  A.\left( {\dfrac{9}{8},\dfrac{9}{2}} \right) \\
  B.\left( {2, - 4} \right) \\
  C.\left( {\dfrac{{ - 9}}{8},\dfrac{9}{2}} \right) \\
  D.\left( {2,4} \right) \\
 \]
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