In the official notification, there are no such information available specific to the Government employee as a result, I would recommend you to get the income certificate from the competent authority. There are no where mentioned that the Government employees will not have to provide the income certificate. So it can be concluded that all the students opting for it must need to submit it.

To know more about the AP EAMCET visit the link below:

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

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