1) you can study at home if you do hard work. but we are bound those many questions and that book only. If u got concept it is very easy to crack IIT
2) Going for coaching also helps in various ways. like if u have doubt u can ask them freely and if u have any new ideas you will share them with professor and friends and it is easy for u when u listen to others and apply the concept to questions.
3) Go for coaching is the better way then study yourself. if u have confidence that u can get IIT from self studies and if u get than no one stops u because u earned the IIT.
so all the best
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