I designed simple LC oscillator using LC components available in pdk, but I am getting DRC and LVS errors with respect to inductor. In schematic the inductor have 3 terminals but in layout it has only two terminals
If you are doing a tapper inductor, Hartley topology, set it up as two inductors which are series. You will need to make the series connections as a pair of via. And place the via connection on another metal layer. The metal and dielectric stack-up needs to be appropriate for you inductor construction.