To my knowledge JNTUH do not consider JEE ranks

Getting into JNTUH require you to appear in EAMCET and through counseling depending upon your rank you will get admission in either JNTUH or its affiliated colleges.

To join some best colleges of your own state, you need to be get a rank under 2500 and if you want a college from another state then you need to get a rank under 1,000 to be on safer side.

Best wishes. Thank you.