The question asks to identify the Maestro from the Lucknow Gharana who is known for writing numerous poetic compositions specifically for Kathak dance.
Shri Binda din Maharaj (1858–1926) stands out as a significant figure in the history of Kathak, particularly associated with the Lucknow Gharana.
He was a prolific composer and choreographer, renowned for creating many original Kathak compositions, often in poetic form (known as pad or bandish).
His works were instrumental in developing the expressive and narrative aspects of Kathak, drawing themes from mythology and daily life.
While other options are notable artists, their primary contributions differ:
Therefore, Shri Binda din Maharaj is correctly identified as the Maestro from the Lucknow Gharana celebrated for his poetic compositions for Kathak dance.