Hey Aehsan,
Go for these for a sumptuous meal nearer to places you asked for :-
Rodeo :- Vegetarian
12-A, Rajiv Chowk, Block A, Connaught Place, New Delhi, Delhi 110001
https://m.facebook.com/rodeoindia
011 2371 3781
Zen Restaurant:- Vegetarian
B-25, Connaught Place Near Rajiv Chowk Metro Station Exit-2, New Delhi, Delhi 110001
http://zenrestaurant.in
011 2335 7455
Bikanerwaala near Connaught place is also a great option ...
Khan chacha dhaba is also near Connaught place and very famous for chicken and mutton dishes ...
Enjoy your meal and fulfil your desire Bro ...
Happy Travelling!!!