Find the equation of the plane tangent to the surface S at point P {1, 0, -1}, where S is the surface generated by turning the curve C: {z = y^2 - 2 y, x = 0} around the OZ axis. Obtain the geodesic curvature of C in S. Reason if the intersection curve of S with the plane z = 1 is a geodesic. Reason if there is some asymptotic line of S that passes through the point P.
