Question

what do you mean by doctrine list the king dom which were annexed under it

Answer 1

The doctrine of lapse was a policy of the British East India Company under which if the ruler of a princely state or territory under the paramountcy of the Company died without a natural heir, the state/territory would automatically be annexed to the British empire. 

Contrary to the popular idea, Lord Dalhousie was NOT the one who devised this policy. It was articulated by the Court of Directors of the East India Company as early as 1834 and several smaller states were already annexed under this doctrine before Dalhousie took over the post of Governor-General.

Answer 2

here friend's your answer is as follows:
according to the doctrine list it proves us that in the doctrine list after the death of the king no son of his or anyone was allowed or capable of acquiring the throne.
the kingdom that were annexed under it were:
udayagiri,bihar etc.

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