Hello dear
Not at all .( If you wanted to pay whole fee )
Income certificate provide you fee relaxation according to your income .
Like in nits if your income is less than 2 lakh you will get 100% tuition fee waiver .
1-5 lakhs will get 2/3 of fee .
Sc/ St also get 100% fee waiver.
So if you do not have any income certificate proof; you have to pay full fee.
You can see more details here :
https://www.google.com/amp/s/engineering.careers360.com/news/after-iit-fee-hike-mhrd-clarifies-fee-waiver-details-for-special-categories-in-rajya-sabha-172972/amp

Good luck

Hey !
Income certificate  is compulsory for JEE Mains counselling if your annual family income is less than 5 lakhs per annum. For Fee remission income certificate  of the students will be checked.
Hope this helps
All the best !

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