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Math·Advanced Math·Nonlinear functions

hard

The function $v$ is defined by the equation $v(x)=\frac{x^2+bx+c}{(x+5)(x-19)}$, where $b$ and $c$ are constants. In the $xy$-plane, the graph of $y=v(x)$ passes through the points $(0,\frac{66}{95})$ and $(11,0)$. If $v(q)=0$, which of the following could be the value of $q$?

A

$-6$

B

$-5$

C

$5$

D

$6$