Explanation:

 The origin of Kathak is traditionally attributed to the travelling bards of ancient northern India known as Kathakars. Kathak evolved during the Bhakti movement, particularly by incorporating the childhood and stories of the Hindu god Krishna, as well as independently in the courts of north Indian kingdoms.

• Statement 1 is correct: The emergence of Raslila, mainly in the Braj region (Mathura in Western U.P.) was important in its development. It combined in itself music, dance and the narrative. Dance in Raslila, however, was mainly an extension of the basic mime and gestures of the Kathakars or storytellers which blended easily with the existing traditional dance.
• Statement 2 is correct: Kathak has emerged as a distinct dance form. Being the only classical dance of India having links with Muslim culture, it represents a unique synthesis of Hindu and Muslim genius in art. Further, Kathak is the only form of classical dance wedded to Hindustani or the North Indian music. Both of them have had a parallel growth, each feeding and sustaining the other.
• Statement 3 is not correct: The Mughal era courts and nobles accepted Kathak as a form of aristocratic entertainment, which low-income families were willing to provide. However, the dance became more abstract and erotic, less as a means of communication of spiritual or religiousideas.