Hello,
According to your question I would say it depends on which category are you planning to apply . If you apply with EWS category then only you might need to submit income certificate or else it is not needed. If you are going to apply for OBC quota then it would not be acceptable because as you mentioned your certificate is issued from Jharkhand then it cannot be used in West Bengal as it is not issued by the central government. If you have land in West Bengal then you might use domicile quota.
Hope it helps.
Good luck.
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