Step 1: Concept Identification: The objective is to determine which ancient Indian texts pertain to the art of dance by examining the subject matter of each option.
Step 2: Textual Analysis:
(A) Saṅgītaratnākara: Authored by Śārṅgadeva in the 13th century, this comprehensive treatise covers Indian classical music and dance, serving as a foundational text for both Hindustani and Carnatic music. It includes a dedicated chapter on dance, "Nartanādhyāya," confirming its relation to the subject.
(B) Nāṭyaśāstra: Attributed to Bharata Muni, this is the most ancient and thorough text on Indian performing arts, detailing drama, music, and dance extensively. It is the primary source for classical Indian dance forms.
(C) Nṛttasūtra: The name directly translates to "Aphorisms on Dance" (Nṛtta signifying pure dance). While less universally known than the Nāṭyaśāstra, Nṛttasūtras are referenced, for instance, by the grammarian Pāṇini. These texts specifically codify dance principles.
(D) Abhinav Candrikā: This text is not a recognized or standard work within the primary canon of dance literature. Although Abhinavagupta was a notable commentator on the Nāṭyaśāstra (his commentary being the Abhinavabhāratī), "Abhinav Candrikā" is not among his widely acknowledged dance works and is likely included as a distractor.
Step 3: Conclusion: Based on the analysis, Saṅgītaratnākara, Nātyaśāstra, and Nṛttasutra are established texts relevant to dance. Therefore, options (A), (B), and (C) are correct.