Identify the surface defined by the following equation. x2 + y2 +3z2 + 8x =-15 select the correct choice below (a) the surface defined by the equation is an ellipsoid centered at (4,0,0) that has length 4 in the x-direction, 4 in the y-direction, and 2/√3 at z direction (b) the surtace detined by the equation is a nyperboloid of one sheet centered at (4,0,0) and is centered around the z-axis. in the xy-plane, the trace has length 4 in the x direction and 4 in the y direction (c) the surface defined by the equation is a hyperboloid of two sheets centered at (4,0,0) and whose traces in the xy-plane are elipses. the shortest distance between the two sheets is 4 (d) the surface deftined by the equation is an elliptic cone centered at (4,0,0) and whose traces in the xy-plane are ellipses length in the y-direction. and whose traces in the xy-plane are ellipses.