Hi.

It is a wise decision to opt for coaching if you want to secure a good rank in JEE Mains, however choosing a coaching is an aid to your hard-work not a necessity. That said, it will be very necessary for you to join 'dummy schooling' because the classes of ALLEN and Akash are day to day and last for 5-6 hours. This schedule would not leave you free for school days. I would suggest you to find private schools with such facility, however, please note that it not legally allowed per se.

Incase you have a further query please comment.

Best of Luck