Hey K Pravallika, 

JAC counselling is an online procedure. You don't need to travel from Hyderabad to Delhi before seat allotment. I'll explian the procedure further: 

You need to register and pay a fee of Rs. 1500/- After registration and choice filling, allotment of seats is declared as per counseling schedule given at JAC Delhi portal. A candidate, who is allotted a seat in any of the participating institutes is required to pay the initial amount of admission fee of Rs.95,000 through ONLINE FEE PAYMENT GATEWAY of JAC Delhi 2019. 

Upto this the procedure is online. After this you are required to report for admission at allotted University / Institute on the date specified as per the counseling schedule along with admission fee payment receipt and the original documents for verification.

Hope it helps, good luck for admissions!