In India, you can update the address on your Aadhaar card after moving to a new house owned by your mother by following these steps:

1. Visit the official website of the Unique Identification Authority of India (UIDAI)
2. Click on the “Update Aadhaar” link.
3. Select the “Address Update” option.
4. Fill in the online address update form, providing your Aadhaar number, name, and other required details.
5. Upload the scanned copies of the required documents as proof of address (e.g. a scanned copy of a utility bill, bank statement, or passport with the new address).
6. Review and submit the form.
7. You will receive an acknowledgement receipt with an Update Request Number (URN)

You can also update your address by visiting the nearest Aadhaar Enrolment Center or Permanent Enrolment Center.

It’s important to note that, in case of an address change, you must provide address proof of the house where you are currently living. If the house is owned by your mother, then you need to provide a document that establishes a relationship between you and your mother, like a birth certificate or an affidavit, along with address proof of the house. It is recommended to check the status of your update request online by visiting the official website of the UIDAI and keep the acknowledgement receipt and URN number for future reference.

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