See a photocopy of the certificate is required for the admission but this doesn't mean that they will not ask for the original certificate. So I would recommend you to find it or get it issued by the authorities. If its not possible, then I would recommend you to take the xerox to your DM/SDO/BDO/any gazetted officer and get attested. Along with it file an complaint to the PS regarding the loss of your document and then take the receipt of the complaint to your alloted college. If you get this then there can be a chance they may allow but not sure about it. You may face a little problem due to this but if you can try what I have said above.

To know more about TS EAMCET counselling visit the link below:

https://engineering.careers360.com/articles/ts-eamcet

I pray to god, your problem get resolved soon.

I hope this answer helps. All the very best for your future endeavors!