Explanation:

•  Amoghavarsha was a Rashtrakuta emperor. He is regarded as one of the greatest ruler of the Rashtrakuta dynasty, and one of the great emperors of India. He ruled for a reign of 68 years and preferred the pursuit of religion and literature to war.
• Many Kannada and Sanskrit scholars prospered during his rule, including the great Indian mathematician Mahaviracharya who wrote Ganita-sara-samgraha, Jinasena, Virasena, Shakatayan and Sri Vijaya .
•  Amoghavarsha himself was an accomplished poet and scholar. He wrote the Kavirajamarga, the earliest poetics work in Kannada and Prashnottara Ratnamalika, a religious work inSanskrit.
• He moved the Rashtrakuta regal capital from Mayurkhandi in the Bidar district to Manyakhet in the Gulbarga district in the modern Karnataka state. He is said to have built the capital city Manakhet to "match that of Lord Indra". The capital city was planned to include elaborately designed buildings for the royalty using the finest of workmanship.
• Hence, option (c) is the correct answer.