The absolute value of slope of common ta...

The absolute value of slope of common tangents to parabola `y^(2) = 8x` and hyperbola `3x^(2) -y^(2) =3` is

A

1

B

2

C

3

D

4

Verified by Experts

The correct Answer is:

B

Tangent to `y^(2)=8x` is `y = mx + (2)/(m)`
Tangent to `(x^(2))/(1) -(y^(2))/(3) =1` is `y = mx+-sqrt(m^(2)-3)` on comparing, we get
`m = +-2`

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