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Your question is not very clear but I am answering both the situations.
1. Your family sirname is DIXIT but all your records including Aadhar card are having sirname as DIKSHIT.
In this case there will not be any problem to you.
2. All your records are having DIXIT but Aadhar card is having DIKSHIT.
If that is your case read this -
When it comes to documents, change is not acceptable.
Aadhar card, PAN card, Voter card, Driving licence etc are the crucial documents and any change in name, surname etc etc is not acceptable. Please remember that these documents are asked for various activities and KYC formhalities time to time.
It is advisable to correct them in time. So get your Aadhar card corrected.
Knowledge is power.