The ruler from Awadh (option 1) was indeed removed from power by the British on the pretext of misgovernance. This place, also known as Oudh, had its king, Wajid Ali Shah dethroned in 1856. The British utilized a policy, called the Doctrine of Lapse, to take over areas where they determined the rule was inefficient.

Option 2, Jhansi, is incorrect because the British seized Jhansi under the Doctrine of Lapse after the death of the ruler, Gangadhar Rao but not under the pretense of misgovernance. The ruler of Nagpur (option 3) was also not removed due to misgovernance. Rather, the state was annexed due to the ruler`s lack of natural heirs. Lastly, Satara (option 4) was the first state to be annexed under the Doctrine of Lapse because the ruler died without a direct heir, and not because of misgovernance.

Thus, option 1 (Awadh) is the only answer where the British removed the ruler claiming him to be a misgovernor.