Private colleges in South India generally organise a common admission test through which they allot seats in various colleges. Comed-k is organised for other state students to get admissions in private colleges of karnataka . You can visit this link :

https://www.comedk.org/

You can also check the list of private engineering college in hyderabad. Link :

https://engineering.careers360.com/colleges/list-of-private-engineering-colleges-in-hyderabad