Hi Kedar,
According to JOSAA, Your home state is considered to be the state from where you have passed your class 12th. In your case, it is Andhra Pradesh, not Jharkhand. So, you wouldn't get admission in BIT Mesra through home state quota.
Here is the link of JOSAA's website, you can check it yourself for further clarification:
https://josaa.nic.in/webinfocms/public/view.aspx?page=46
All the best.
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