Evaluate the $limit.$

$\underset{(u,v)(2,-1)}{lim}\frac{9uv-3v^2}{u^2+v^2}$

Select the correct choice and, $if$ necessary, fill $in$ the answer box $in$ your choice.

$A.\underset{(u,v)(2,-1)}{lim}\frac{9uv-3v^2}{u^2+v^2}=(Typean$ integer $or$ a simplified fraction.$)$

$B.$ The $limit$ does not exist.