Khan’s stately home - by a non-Tamil state of India (6)
I believe the answer is:
xanadu
'khan's stately home' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.
'by a non-tamil state of india' is the wordplay.
'by' becomes 'x' (as in 'multiplied by').
'non tamil state of india' becomes 'nadu' (I can't explain this - if you can you should give a lot more credence to this answer).
'x'+'a'+'nadu'='XANADU'
Can you help me to learn more?
(Other definitions for xanadu that I've seen before include "Kubla Khan's place (Coleridge)" , "Legendary city of Kubla Khan (Coleridge)" , "Idealised place of great luxury" , "Kubla Khan's pleasure dome site (Coleridge)" , "Idyllic place" .)
