Yes, you can write JEE Main to take admission in private colleges. You can not  apply for NITs/IIITs and GFTIs as for these colleges you need to get 75% marks in your board exam or you should be in top 20 percentile. You can also apply for DTU and NSIT.

To check he list of private colleges you can refer belo link

Top Private Colleges through JEE Main

Good Luck!!

Yes you can apply at DTU. But for NITs/IITs you must score 75%

Yes, you are eligible to apply for JEE Main and if you are interested in DTU then the minimum eligibility to apply is 60% so you can apply for it. But to get admission in IIts, NITs, IIITs, GFTIs you should have minimum 75% in class 12th. For further information about JEE main you can go through with given below link.

JEE main Eligibility

Joint Entrance Examination (Main)

Eligibility | Application | Exam Pattern | Preparation Tips | Question Paper | Admit Card | Answer Key | Accepting Colleges

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