BCA

If you are very much interested in doing B.Tech from IIT or NIT then you may drop a year and prepare for JEE Mains again. If you want to do BCA then you can opt for any university in Gujarat. Choice is all yours.

Chandigarh group of colleges is a decent name in education sector but there are some premier private institutions in Northern India that are doing much better.they along with good standards of education provides an assured placements.here are some of these institutions where you may get admission:
1.Lovely Professional University
2.DU
3.Thapar university
i have heard that Lovely Professional University provides scholarship upto 1.5 lakh per annum.even the university provide unmatched entrepreneurial skills that makes their students an efficient managers.

it is very good

If you are interested in the field of Business and Finance, than opt for BBA. While, if you are interested in the field of Computer Application and IT, than opt for BCA. Go with your interest. That's all.

Hi Ayush,
For list of colleges offering BCA in Patna, kindly refer the link below :
http://goo.gl/r5ZnPW
Kindly filter out the branch / college / location as desired from the above link.
I hope this information helps. Please feel free to revert.
Wish you luck.