Identify the surface defined by the following equation. x2 + y2 +422 + 16X= -63 Select the correct choice below and fill in the answer boxes to complete your choice. O A. The surface defined by the equation is an elliptic cone centered at (, and whose traces in the xy-plane are ellipses. O B. The surface defined by the equation is a hyperboloid of two sheets centered at (, and whose traces in the xy-plane are ellipses. The shortest distance between the two sheets is O C. The surface defined by the equation 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. O D. 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