Hi lokeahwar,
Firstly congratulation for such a wonderful score .
Yes you can definitely get admission into any prestigious college of engineering like nits or iiits.

As well as with this score you can easily get your desired branch but just it might get difficult for you to get computer science branch in top nits like trichy , suratkal and warangal or else all other branches are open for you .

Hope it helps !!!

Yes definitely 

Your rank is 9000 approx

You will  get top nits for sure 

But  cse branch is difficult. Congrats for your rank you might even get an IIT if u wrote well in JEE advanced.

Your rank would easily fetch you top nits but cse 

Mediocre nits any branch

Depending upon your choice of branch select your preferences