Registered in mh purchase material in Hyderabad and from directly dispatch material to Coimbatore both transaction under IGST?

I’m not exactly sure, but if supplier from Hyderabad supplies directly to Coimbatore ( although he might have send the bill to you at mh), the place of supply will be Coimbatore because it is supply of goods involving movement of goods (place of supply in such case is where the movement of the goods terminates for delivery to the recipient) there is only 1 transaction and not 2.

Hence igst will be applicable. you will need to take registration of Tamil Nadu as well.

Sorry, you are purchaser. no need to take registration of Tamil Nadu.