For each of the following ideals J, determine whether or not C[T, X,Y]/J is an integral extension ring of C[T]. Having done that, interpret the statement geometrically, comment on the dimension of V(J) and try to confirm your inter- pretation by plotting the real points using a software of your choice. a) J = (Y? TX). b) J = (y2 TX, X3 T2). c) J = (Y2 TX,T3 XY). For each of the following ideals J, determine whether or not C[T, X,Y]/J is an integral extension ring of C[T]. Having done that, interpret the statement geometrically, comment on the dimension of V(J) and try to confirm your inter- pretation by plotting the real points using a software of your choice. a) J = (Y? TX). b) J = (y2 TX, X3 T2). c) J = (Y2 TX,T3 XY)