The number of distinct real tangents that can be drawn from $(0, - 2)$ to the parabola $y^{2} = 4 x$ is

one

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two

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zero

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none of these

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Solution

The correct option is A two
$S = y^{2} - 4 x$
On putting $(0, - 2)$ in $S$ we get $S = 4 > 0$
That means the point is outside the parabola hence two tangents can be drawn.
Option B

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