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Let a line L : 2x + y = k, k gt 0 be a t...

Let a line `L : 2x + y = k, k gt 0` be a tangent to the hyperbola `x^(2) - y^(2) = 3`. If L is also a tangent to the parabola `y^(2) = alpha x`, then `alpha` is equal to

A

12

B

`-12`

C

24

D

`-24`

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