Multiple choice

If the equations $4x^2-x-1=0$ and $3x^2+(\lambda +\mu)x+\lambda -\mu =0$ have a root common. Then the rational value of $\lambda$ and $\mu$ are?

$\lambda =0, \mu =\dfrac{-3}{4}$
$\lambda =\dfrac{-3}{4}, \mu =\dfrac{3}{4}$
$\lambda =\dfrac{-3}{4}, \mu =0$
$\lambda =\dfrac{-3}{4}, \mu =\dfrac{1}{4}$

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