I secured AIR 12726 in Nchmct JEE, I beleong to General category so can I get government college

Hello student,
With a rank of around 12,000 in the general category, you have chances of procuring a seat in the following IHM's when comparing the results of previous years

• SIHM yamuna nagar, Haryana
• SIHM Telangana

The above mentioned colleges are state government IHM's which you can get a seat in the first round itself. Other than this, only private institutes are possible. Also, one thing to keep in mind is that scores and ranks vary each year with difficulty level of the question paper and availability of seats. However you can go through the following link to know about the cut off's and ranks for the previous years and calculate your chances of selection
https://www.google.com/amp/s/hospitality.careers360.com/articles/nchm-jee-cutoff
Good luck