The focal distance of a point on the parabola $y^{2} = 12 x$ is $4$ . The abscissa of this point is

2

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3

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- 1

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1

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Solution

The correct option is D $1$
Given, $y^{2} = 12 x$
On comparing with $y^{2} = 4 a x$
we get, $4 a = 12 \Rightarrow a = 3$
The focal distance of any point $(x, y)$ on $y^{2} = 12 x$ is $x + 3$
$∴ x + 3 = 4$
$\Rightarrow x = 1$

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