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

(6, 2)

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(-2, -6)

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(3, 18)

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(2, 6)

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Solution

The correct option is D (2, 6)
Let y = 3x, then $(3 x)^{2} = 18 x$
$\Rightarrow 9 x^{2} = 18 x \Rightarrow x = 2 a n d y = 6$

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