Option b is the correct answer. Statement 1 is correct: The Satavahana rulers were known to patronize and support the development of Prakrit language, which was widely spoken and used in administrative and literary contexts during their rule. Satavahana's official language was Prakrit and its script was Brahmi. Hala, the seventeenth king of the Satavahanas compiled 'Gathasaptashati'. Gunadhya, a minister in his court wrote a text 'Brihatkatha' in Prakrit language named Paishachi. Statement 2 is correct: The Satavahanas were notable for their patronage of art and culture. Public aspects of arts, such as the creation of rock-cut caves, stupas, and sculptures, received significant encouragement during their reign. This period saw the construction of the five gateways at Sanchi, the rock-cut Chaitya-halls of Bhaja, Karle, Nasik, and Kanheri, as well as the stupas at Amaravati, Bhattiprolo, Goli, and Ghantasala. Prominent Satavahana sculptures include Bhaja Vihara's intricate pillars, Amaravati's Enlightened Buddha depiction, and Nagarjunakonda's enduring Amaravati sculptural tradition.