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At What Point of the Parabola X2 = 9y is the Abscissa Three Times that of Ordinate? - Mathematics

At what point of the parabola x2 = 9y is the abscissa three times that of ordinate? 

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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, = 0
At y = 1, = 3
Therefore, at (1, 3), the abscissa is three times that of the ordinate.

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 25 Parabola
Exercise 25.1 | Q 8 | Page 25
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