Yes, your right to the ancestral property remains unaffected by the address on your Aadhaar card. Property rights are based on legal inheritance and family lineage, not on the address listed in identification documents. Since the property is registered in your grandfather’s name, your family can inherit it according to inheritance laws.
To ensure your claim, it may be helpful to maintain documents such as family records, succession certificates, and, if needed, apply for a mutation in property records to reflect the change in ownership after your grandfather's passing.
For detailed, personalized advice, consider a phone consultancy.
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Shubham Goyal