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Question
At what point of the parabola x2 = 9y is the abscissa three times that of ordinate?
Solution
Putting x = 3y in the given equation of the parabola:
\[9 y^2 = 9y\]
\[ \Rightarrow 9y\left( y - 1 \right) = 0\]
\[ \Rightarrow y = 0, 1\]
At y = 0, x = 0
At y = 1, x = 3
Therefore, at (1, 3), the abscissa is three times that of the ordinate.
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