Well chances are high , since you are from tamil nadu you can apply with state quota (according to previous years analysis) state quota cut off ranges between 6-12k for cse , so you are almost on borderline of getting/not getting cse since cut off ranks are generally subjective nothing can be predicted with 100% clarity as it depends upon current years level of difficulty of aeee paper, no of candidates opting coimbatore from state quota , how many of them are before you in merit list, but still with 7123 rank you definitely have good chances(whether or not on borderline) to get cse at coimbatore,also rest branches like ece and others are assured with this rank.