The point on the parabola $y^{2} = 36 x$ whose ordinate is three times its abscissa is

(4,12)

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(3,9)

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(6,18)

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(1,3)

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Solution

The correct option is A
(4,12)

$y^{2} = 36 x y = 3 x$
$9 x^{2} = 30^{4} x \Rightarrow x = 4 P = (4, 12)$
y=12

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