Hello Dear
Inorder to attain the scholarship during your Class 12th you have to write the competition exams like KVPY , NEST etc such that after qualifying such exams you can be able to take the scholarship because by seeing your financial condition no one will give you scholarship but yaah you will get the financial aid in your semester fee of that respective college / University by submitting your documents of annual family fee.

https://www.collegedekho.com/articles/scholarships-after-12th/

All the best

Hi
I can't tell you about your financial aid but I can tell you    about your JEE main preparation with out coaching

At first you have to buy the books for JEE main
For Math.RD.SARMA
for physics. hc.varma
for chemistry . NCERT BOOKS and Arihant
If you solve all the problems of those books
Cracking JEE main become kids play to you

Good luck

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