Hello Buddy! Hope you're doing good.

Yes of course you are eligible to participate in any of the counselling in B.Tech. either in private, government, IITs, NITs or any among them as there's no such minimum criteria of marks, percentile, or rank for participating in any of the counselling. Just make sure the previous cutoffs of the particular institute you are applying for, this helps you in saving your money out there. For knowing your admission possibilities you can explore YouTube and some college predictor tool out there. I'm giving you a college predictor tool below you can use it for predicting your college opportunities.

JEE College Predictor

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

Hope this will help you.

ALL THE BEST! WORK HARD !!