Step 1: Understanding Map Making Authorities in India:
Topographical maps (topo-sheets) are highly detailed, accurate graphic representations of cultural and natural features on the ground, requiring precise geodetic and photogrammetric measurements.
Step 2: Evaluating the Agencies:
• Archaeological Survey of India (ASI) (A): Responsible for archaeological research and the protection of cultural monuments.
• Geological Survey of India (GSI) (B): Responsible for conducting geological surveys, mineral prospecting, and mapping earth sciences.
• The Survey of India (C): Established in $1767$, it is India's central engineering agency in charge of mapping and surveying. It is the sole national authority responsible for creating and maintaining all topographical maps, border maps, and geodetic reference networks in India.
• National Mapping Organisation (D): Often refers to NATMO (National Atlas and Thematic Mapping Organisation), which focuses on thematic/geographic atlas creation, but not basic standard tactical/topographical maps.
Hence, option (C) is the correct answer.