The following statement is true
A) The common name for the British Indian Empire was the "British Raj''
Derived from local languages, Raja meant King and Raj was meant to denote a Kingdom. After the British East India company gave the control of the country over the to British Throne, the area was then known as British Raj, or the Dominion of the British.
The British were the first power in history to consolidate power in as as far flung places as Aden in Yemen to Ragoon in Burma and develop a single government system around it calling it the British Raj.
The First capital was in Calcutta but it was later moved to Delhi in the West.
The right answer is the last one: transcendentalist thinkers. Transcendentalism was a philosophical, religious and literary movement that originated in the US (specifically as a reform movement within the Unitarian Church) approximately between 1836 and 1860. Based on Romanticism, Hinduism and Rationalism, transcendentalist thinkers believed in the capacity of each individual consciousness (without the need of religious mediators or ideas), in his/her purity, independence and self-reliance, which society and its institutions have corrupted.
Imperalism by definition is the policy of expanding your countries power through military or diplomatic means. And expanding your country to another continent, with many resources untapped and people of inferior technology means you could easily conquer and expand