Identify the surface defined by the following equation.

$-x^2-y^2+\frac{z^2}{9}+6x-4y=14$

Select the correct choice below and fill in the answer boxes to complete your choice.

A$.$ The surface defined by the equation is an ellipsoid centered at $$ that has length $$ in the $x-$direction, $$ in the $y-$direction, and $$ in the $z-$direction.

B$.$ The surface defined by the equation is a hyperboloid of two sheets centered at $1.)$ and whose traces in planes parallel to the xy$-$plane are ellipses. The shortest distance between the two sheets is $.$

C$.$ The surface defined by the equation is an elliptic cone centered at $$ and whose traces in planes parallel to the xy$-$plane are ellipses.

D$.$ The surface defined by th quation is a hyperboloid of one sheet centered at $($ and is centered around the $z-$axis. In the $xy-$plane, the trace has length $$ in the $x-$direction and length $$ in the $y-$direction.