Final answer:
The quote is from the play 'Chitra' by Rabindranath Tagore. Chitra is praising Arjuna's leadership qualities and expressing her admiration for him.
Step-by-step explanation:
The quote 'What splendid king you'd make of a desert island-- you and you alone' is from the play 'Chitra' by Rabindranath Tagore. The quote is spoken by Chitra, the female protagonist, to Arjuna, the male protagonist. In this scene, Chitra is praising Arjuna's leadership qualities and expressing her admiration for him. She believes that he would make a great king even on a deserted island, highlighting his remarkable qualities.