Dear Candidate ,
Yes , with a rank of 55,000 in MBiPC ( BiPC stream ) , you can take EEE or Mechanical Engineering ( MEC ) only if you have also written EAMCET ( Engineering stream with MPC ) and qualified .
But since you mentioned you do not have a rank in MPC ( MPC stream ) and only got rank in BiPC , you cannot take admission in EEE or Mechanical , as these are engineering ( MPC - based ) branches .