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My wife moved to UK on 16th Jan 2019 and she is living in a hostel for temporary till I join her. Can I put that address as permanent address of EEA national in UK ?
We are also planning to book a Airbnb for a month and find a flat in UK after I move to UK. Can I put Airbnb address as a permanent address in UK for both us ?
Either option is probably reasonable depending on when your wife is going to leave the hostel. You might even put "none," since she does not yet have a permanent address.
Do be aware that if you arrive in the UK after she has been there for more than three months that you will need to show evidence that she is a "qualified person" (working, studying, self-sufficient, or, under some circumstances, looking for work).