Final answer:
The equation X = y²/8 - z²/11 defines a hyperbolic paraboloid, which is a saddle-shaped surface.
Step-by-step explanation:
The surface defined by the equation X = y²/8 - z²/11 is a hyperbolic paraboloid. This type of surface is characterized by a saddle shape that results from the difference of squares in the equation. The y²/8 term causes the surface to open upwards in the Y-direction, while the -z²/11 term causes it to open downwards in the Z-direction. This equation resembles the standard form of a hyperbolic paraboloid: X = Ay² - Bz², with A and B being positive constants which in this case are 1/8 and 1/11, respectively.