I got 88.2032067 percentile in jee main Jan 2020 attempt. Do I qualify for jee advanced with these percentile.? If yes, What rank I should secure in Jee Advanced to get Artificial Intelligence branch at IIT Hyderabad? My category is ST

Hey aspirant!
As of now, it is difficult to predict the actual qualifying NTA score for JEE Advanced eligibility. However,going by views of many experts, if you have a percentile above 85-86 then you have a decent enough chance to qualify irrespective of your category. However, you should refer to the previous year JEE Main qualifying cutoff scores by NTA as follows to understand your chances:-
Common Rank List (CRL)

89.7548849

GEN-EWS

78.2174869

Other Backward Classes (OBC-NCL)

74.3166557

Scheduled Caste (SC)

54.0128155

Scheduled Tribe (ST)

44.3345172

PwD

0.11371730

Therefore, looking at previous year's trends it is a big possibility that you would qualify for JEE Advanced. Also, you still have another opportunity to improve your results by performing better in the April attempt and I would advise you to be concentrated on that too and give it your best shot.

As regarding your query about Artificial Intelligence at IIT HYDERABAD, it is a relatively new course and so prediction for cutoff is really tough, however an AIR of 600-700 would be sufficient to qualify for it, however, an AIR of under 500 would probably seal you the seat. Also, note that the previous year opening and closing rank for the course was 657 and 1601 respectively for General category while the opening rank for ST students from ST rank list was 142.
Good luck.