Correct option is A
The Chola king Rajaraja I was originally named Arulmozhi Varman. He later adopted the title "Rajaraja," which means "King among Kings"
The Vengi king under Rashtrakuta control, specifically during Krishna III's reign, was Badapa II. Krishna III intervened in Vengi affairs to help Badapa II secure the throne against his rival, Danarnava, initially. Later, Danarnava of Vengi became a feudatory of Krishna III.
In 1006 CE, Western Chalukya general Baya Nambi led an army to invade Vengi (also known as the Eastern Chalukyan kingdom). The invasion was orchestrated by Western Chalukya king Satyashraya, who sought to overthrow the Chola. Chalukya alliance and gain control of the east coast and ultimately placing Saktivarman on the throne of Vengi.
The Sinhalese prince, who resisted the Chola king Rajendra I was Kassapa.