Attending coaching institutes for JEE preparation instead of doing plus one and plus two is a good thing or not?

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A lot of students opt for this option, and then they end up failing or scoring very less in their class 12th exams especially in English. Then, your percentage is so low that you are not even eligible for sitting in JEE exam, be that you may have cleared the exam. What you should do is go to school

No, that is not a good idea. You have to attend school and clear your boards as well.