Hello Surya,
Yes, a single application form has to be filled if you wish to apply for admission. Later, during counselling session you can choose the campus you wish to pursue your education at. The application form of BITSAT will commence from third week of December. You can fill them until third week of March. The application fee is Rs. 2950/- for male candidates and Rs. 2450/- for female candidates.
You can get detailed information regarding application form from below mentioned link: https://engineering.careers360.com/articles/bitsat-application-form
All the best!
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