Question: Parametric equation of surface S is given below: $$x=6\cos (t+\frac\pi 3).y=3\sin t,z=u \text{ and } 0\leq t\leq 2\pi .u\in R$$
Find the curve which is intersecting with surface S's plane: $y={x\over\sqrt 3}$ and explain what type of intersection it is.
I can't seem to find a solution, can you help me, I mean can you show me a way to solve this question?