Hello .
To be eligible for REAP candidate must have domicile certificate of the Rajasthan, there are three categories of domicile:
as your father belongs to Rajasthan if they are  the bonafide residence of Rajasthan then you are eligible for REAP , because you belong to the domicile Category A where candidate or his parent must be the bonafide residents of Rajasthan.
Let's see these all categories :
Domacile A: in this category you or your parent must be bonafide residents of Rajasthan, if you do not comes in this category then second category is there.
Domacile B: in this category a candidate must have studied or must be studying in any educational institute of Rajasthan for up to 3 year and the year in which you have passed or appearing for the qualifying exam must also include in these years, if you do not comes in this category then again third category is there.
Domicile C : if you are a child of any retired / serving employee of Rajasthan government then you comes in this category along with this there are some more options to become in this category you can see through the below link:
https://engineering.careers360.com/articles/reap-eligibility-criteria
That means you are eligible to appear for REAP through your JEE mains score if you or your father are bonafide residents of Rajasthan, your final selection will be on the basis of your JEE mains score.
And remember while applying for REAP you will have to attach your domicile certificate as a document also if you do not then your application will be cancelled.
Best of luck.

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