Let $$\displaystyle\lim_{x \to 2} \dfrac{(\tan(x - 2))(rx^2 + (p - 2)x - 2p)}{(x - 2)^2} = 5$$ for some $$r, p \in \mathbb{R}$$. If the set of all possible values of q, such that the roots of the equation $$rx^2 - px + q = 0$$ lie in $$(0, 2)$$, be the interval $$(\alpha, \beta]$$, then $$4(\alpha + \beta)$$ equals :

A

11

B

13

C

17

D

21