As dob was recorded in passport based on the 10th mark sheet in which wrong dob is mentioned so now you have to produce the birth certificate of your wife for actual D.O.B.
As the passport authority had written dob based on 10 marksheet provided by you.
So along with Birth certificate and file an application for correction the authority shall reissue passport with corrected dated of birth on requisite fee. After kerala high court judgement the passport office has set guidlines for change in D.OB. kindly refer same in below link.
https://www.google.co.in/url?url=http://passportindia.gov.in/AppOnlineProject/pdf/AHD_IS-0130249_Y.pdf&rct=j&sa=U&ved=2ahUKEwikxI24-KPaAhUHzbwKHQgJBXEQFjAEegQIBRAB&q=dob+change+in+indian+passport&usg=AOvVaw0q-WbEDwFTt-q8shUCSy4X