Hi Anamika, Depends on what you are interested in. You can head to the Himalayas and holiday in beautiful places like Manali, Bir, Dharamshala. If you want to experience the raw magic of Rajasthan you can choose to visit Pushkar, Jodhpur, Jaisalmer. You can check out other great places you can visit around Delhi here: https://goo.gl/zU2HYa Keep exploring!
you can visit manali ,kasol and tosh-(for full moon party and camping in himalayas),dharmshala in himachal and jaipur ,jodhpur and jaislmer in rajasthan (music festival from 5 oct) and dehradun ,mussorie ,rishikeshand kemptyfall (best option),landsdown in uttrakhand will have great weather for mountains visit and peace .if you are furstated with the city pollution and noise or you can try GOA also but it has mixed weathers at this time.
You can go for a paragliding in bir-billing and then to mcleodganj for Triund trek. There is direct overnight volvo to and from delhi for both the places. It's just 2 hours drive from bir to mcleodganj.
I hope you have made your trip. It would be helpful for travellers if you share the travel details:
5.Places to see
6.Tips for travellers etc.